Maths
Biology
Chemistry
English Lang.
History
Responding to change (a2 only)
Infection and response
Energy transfers (a2 only)
Homeostasis and response
Cell biology
Biological molecules
Organisation
Substance exchange
The control of gene expression (a2 only)
Bioenergetics
Genetic information & variation
Inheritance, variation and evolution
Genetics & ecosystems (a2 only)
Ecology
Cells
Show all topics
World war two & the holocaust
2d religious conflict and the church in england, c1529-c1570
1c the tudors: england, 1485-1603
Inter-war germany
The fight for female suffrage
Britain & the wider world: 1745 -1901
Medieval period: 1066 -1509
1f industrialisation and the people: britain, c1783-1885
1l the quest for political stability: germany, 1871-1991
2m wars and welfare: britain in transition, 1906-1957
The cold war
2n revolution and dictatorship: russia, 1917-1953
1d stuart britain and the crisis of monarchy, 1603-1702
World war one
Britain: 1509 -1745
Show all topics
3
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
145
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.
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.
9
284
11
Angles on Parallel Lines
Revision note
8
319
11/10
maths 2020 past paper 2 mark scheme
for gcse
7
623
11/10
math 2020 3 past paper mark scheme
for gcse
15
299
11/10
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.
24
447
S4
trigonometry and quadratics
area of triangle, triangle trig, sine rule, angel sine rule, 2 part sine rule, bearings, cosine rule, angel cosine rule. QUADRATICS- quadratic functions, quadratic graphs,
7
304
S3/S4
Sin and Cos rules
made for N5 maths. Please check my page for more N5 maths topics.
Average app rating
Pupils love Knowunity
In education app charts in 12 countries
Students have uploaded notes
iOS User
Philip, iOS User
Lena, iOS user
Sign up to see the content. It's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
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.
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.
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.
Maths - Angles on Parallel Lines
Revision note
9
284
0
Maths - maths 2020 past paper 2 mark scheme
for gcse
8
319
0
Maths - math 2020 3 past paper mark scheme
for gcse
7
623
0
Maths - 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.
15
299
1
Maths - trigonometry and quadratics
area of triangle, triangle trig, sine rule, angel sine rule, 2 part sine rule, bearings, cosine rule, angel cosine rule. QUADRATICS- quadratic functions, quadratic graphs,
24
447
0
Maths - Sin and Cos rules
made for N5 maths. Please check my page for more N5 maths topics.
7
304
0
Average app rating
Pupils love Knowunity
In education app charts in 12 countries
Students have uploaded notes
iOS User
Philip, iOS User
Lena, iOS user
