This document provides an overview of interior and exterior angles... Show more
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Crimsy
31/03/2023
Maths
Interior and Exterior angles (regular polygons)
1,286
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31 Mar 2023
•
Interior and Exterior Angles in Polygons - GCSE OCR Math Worksheet and Answers
Exterior Angles of Regular Polygons
This page focuses on the exterior angles of regular polygons, complementing the previous information on interior angles. It's an important topic for GCSE OCR math students studying polygon geometry.
The page introduces the formula for exterior angles: 180° - interior angle. This formula is crucial for understanding the relationship between interior and exterior angles in polygons.
Highlight: The sum of exterior angles in any polygon is always 360°.
The document provides a visual representation of exterior angles in a regular hexagon. This illustration helps students understand how exterior angles relate to the shape of the polygon.
Example: In a regular hexagon, each exterior angle measures 60° .
The page also reinforces the connection between interior and exterior angles. It shows how the exterior angle is supplementary to the interior angle, meaning they add up to 180°.
Definition: Supplementary angles are two angles that add up to 180°.
This information is particularly useful for students working on exterior angles in regular polygons GCSE tips worksheets and preparing for exams.
The visual representation on this page can help students better understand concepts like the sum of exterior angles of a polygon and how it relates to the number of sides.
While there are no specific practice questions on this page, the information provided is essential for solving problems related to both interior and exterior angles of polygons, which are common in GCSE OCR math questions and worksheets.
Interior Angles of Regular Polygons
This page focuses on the interior angles for regular polygons, a crucial topic in GCSE OCR math. It provides a comprehensive overview of how to calculate interior angles for various regular polygons.
Definition: Regular polygons are shapes where all angles and sides are equal.
The page introduces the formula for finding interior angles in polygons: × 180, where n is the number of sides. This formula is essential for solving problems related to polygon angles.
Example: For a triangle, the sum of interior angles is × 180 = 180°.
The document provides a visual representation of different regular polygons, from triangles to decagons, showing the sum of their interior angles. This helps students understand how the number of sides affects the total angle sum.
Highlight: The sum of interior angles increases as the number of sides in a polygon increases.
Several example questions are presented to demonstrate the application of the formula:
- Finding the sum of interior angles for a heptagon .
- Calculating the size of each interior angle in a regular 20-sided polygon.
- Determining the number of sides in a polygon given the sum of its interior angles.
These questions provide valuable practice for students preparing for GCSE OCR math worksheets and exams.
Vocabulary: Heptagon - a seven-sided polygon; Octagon - an eight-sided polygon; Nonagon - a nine-sided polygon; Decagon - a ten-sided polygon.
The page serves as an excellent resource for students studying angles in polygons, offering both theoretical knowledge and practical application through examples.
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The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
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This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
Interior and Exterior Angles in Polygons - GCSE OCR Math Worksheet and Answers
This document provides an overview of interior and exterior angles in regular polygons, focusing on formulas and examples for GCSE OCR math students. It covers key concepts and calculations related to polygon angles.
- The document explains interior angles of regular... Show more
Exterior Angles of Regular Polygons
This page focuses on the exterior angles of regular polygons, complementing the previous information on interior angles. It's an important topic for GCSE OCR math students studying polygon geometry.
The page introduces the formula for exterior angles: 180° - interior angle. This formula is crucial for understanding the relationship between interior and exterior angles in polygons.
Highlight: The sum of exterior angles in any polygon is always 360°.
The document provides a visual representation of exterior angles in a regular hexagon. This illustration helps students understand how exterior angles relate to the shape of the polygon.
Example: In a regular hexagon, each exterior angle measures 60° .
The page also reinforces the connection between interior and exterior angles. It shows how the exterior angle is supplementary to the interior angle, meaning they add up to 180°.
Definition: Supplementary angles are two angles that add up to 180°.
This information is particularly useful for students working on exterior angles in regular polygons GCSE tips worksheets and preparing for exams.
The visual representation on this page can help students better understand concepts like the sum of exterior angles of a polygon and how it relates to the number of sides.
While there are no specific practice questions on this page, the information provided is essential for solving problems related to both interior and exterior angles of polygons, which are common in GCSE OCR math questions and worksheets.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Interior Angles of Regular Polygons
This page focuses on the interior angles for regular polygons, a crucial topic in GCSE OCR math. It provides a comprehensive overview of how to calculate interior angles for various regular polygons.
Definition: Regular polygons are shapes where all angles and sides are equal.
The page introduces the formula for finding interior angles in polygons: × 180, where n is the number of sides. This formula is essential for solving problems related to polygon angles.
Example: For a triangle, the sum of interior angles is × 180 = 180°.
The document provides a visual representation of different regular polygons, from triangles to decagons, showing the sum of their interior angles. This helps students understand how the number of sides affects the total angle sum.
Highlight: The sum of interior angles increases as the number of sides in a polygon increases.
Several example questions are presented to demonstrate the application of the formula:
- Finding the sum of interior angles for a heptagon .
- Calculating the size of each interior angle in a regular 20-sided polygon.
- Determining the number of sides in a polygon given the sum of its interior angles.
These questions provide valuable practice for students preparing for GCSE OCR math worksheets and exams.
Vocabulary: Heptagon - a seven-sided polygon; Octagon - an eight-sided polygon; Nonagon - a nine-sided polygon; Decagon - a ten-sided polygon.
The page serves as an excellent resource for students studying angles in polygons, offering both theoretical knowledge and practical application through examples.
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
Where can I download the Knowunity app?
You can download the app from Google Play Store and Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.9/5
App Store
4.8/5
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user