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2m wars and welfare: britain in transition, 1906-1957
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Studynotes_gcse
27/06/2022
Maths
Interior and exterior angles of a Polygon
This polygon guide explores interior and exterior angles, focusing on regular and irregular polygons. It covers angle calculations and provides examples for various polygon types.
27/06/2022
154
This page focuses on the interior angles of polygons and provides a formula for calculating their sum. It presents visual examples of polygons with different numbers of sides and their corresponding interior angle sums.
The page introduces the formula for calculating the sum of interior angles of a polygon:
Formula: Sum of interior angles of polygons formula: (n-2) × 180°, where 'n' is the number of sides.
The page provides examples of this formula applied to polygons with varying numbers of sides, from triangles (3 sides) to 17-sided polygons.
Example: For a pentagon (5 sides), the sum of interior angles is calculated as: (5-2) × 180° = 540°
Highlight: The formula works for both regular and irregular polygons, as long as you know the number of sides.
This page presents practical examples of calculating angles in polygons using the interior angle sum formula. It demonstrates how to solve for unknown angles in both regular and irregular polygons.
Example 1: Finding an unknown angle in a 6-sided polygon The page walks through the process of calculating an unknown angle 'x' in a hexagon, given the measures of the other angles.
Example: In a 6-sided polygon with known angles of 110°, 130°, 60°, 70°, and 170°, the unknown angle 'x' is calculated to be 260°.
Example 2: Determining an angle in a regular polygon This example shows how to find the measure of each angle in a regular 12-sided polygon.
Example: In a regular 12-sided polygon, each interior angle measures 150°.
Example 3: Identifying a polygon from its interior angle sum The final example demonstrates how to determine the number of sides in a regular polygon given the sum of its interior angles.
Example: A regular polygon with a sum of interior angles of 1440° is identified as a decagon (10-sided polygon).
Highlight: These examples showcase the versatility of the interior angle sum formula in solving various polygon-related problems.
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393
10/11
Year 7 Module 8 - Angles
NOTES
74
1204
11
angle facts
angle facts
9
390
10/11
maths 2020 past paper 2 mark scheme
for gcse
16
373
10/11
What is Trigonometry and how to solve it
If you have any questions then please feel free to message me,I am learning trigonometry aswell so any tips would be appreciated.If your struggling with trigonometry then corbettmaths.com has practice questions and answers on different slides.
7
455
S4/S5
Entire Nat 5 Maths Notes (Part 2): Applications
Part 2 of all the notes for National 5 Maths (adjusted for Covid so some topics may be missing)
432
6215
10/11
HIGHER MATH NOTES
NOTES
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This polygon guide explores interior and exterior angles, focusing on regular and irregular polygons. It covers angle calculations and provides examples for various polygon types.
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This page focuses on the interior angles of polygons and provides a formula for calculating their sum. It presents visual examples of polygons with different numbers of sides and their corresponding interior angle sums.
The page introduces the formula for calculating the sum of interior angles of a polygon:
Formula: Sum of interior angles of polygons formula: (n-2) × 180°, where 'n' is the number of sides.
The page provides examples of this formula applied to polygons with varying numbers of sides, from triangles (3 sides) to 17-sided polygons.
Example: For a pentagon (5 sides), the sum of interior angles is calculated as: (5-2) × 180° = 540°
Highlight: The formula works for both regular and irregular polygons, as long as you know the number of sides.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This page presents practical examples of calculating angles in polygons using the interior angle sum formula. It demonstrates how to solve for unknown angles in both regular and irregular polygons.
Example 1: Finding an unknown angle in a 6-sided polygon The page walks through the process of calculating an unknown angle 'x' in a hexagon, given the measures of the other angles.
Example: In a 6-sided polygon with known angles of 110°, 130°, 60°, 70°, and 170°, the unknown angle 'x' is calculated to be 260°.
Example 2: Determining an angle in a regular polygon This example shows how to find the measure of each angle in a regular 12-sided polygon.
Example: In a regular 12-sided polygon, each interior angle measures 150°.
Example 3: Identifying a polygon from its interior angle sum The final example demonstrates how to determine the number of sides in a regular polygon given the sum of its interior angles.
Example: A regular polygon with a sum of interior angles of 1440° is identified as a decagon (10-sided polygon).
Highlight: These examples showcase the versatility of the interior angle sum formula in solving various polygon-related problems.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This page introduces the concept of polygons and their types. It explains the origin of the word "polygon" from Greek and defines it as a two-dimensional shape with multiple sides made of straight lines that form a closed shape.
The page distinguishes between two types of polygons:
Regular Polygons: These have all sides of equal length and all angles of the same size.
Irregular Polygons: These have sides of different lengths and angles of different sizes.
Vocabulary: A polygon is a two-dimensional shape with multiple sides made of straight lines that form a closed shape.
Example: Regular polygons include equilateral triangles, squares, regular pentagons, hexagons, heptagons, and octagons.
Highlight: The key difference between regular and irregular polygons lies in the consistency of their side lengths and angle sizes.
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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.
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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.
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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!
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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.
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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.
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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.
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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
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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
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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
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
