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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.
27/06/2022
144
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.
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 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.
6
244
10/11
Year 7 Module 8 - Angles
NOTES
388
4356
10/11
HIGHER MATH NOTES
NOTES
72
1115
11
angle facts
angle facts
7
601
11/10
math 2020 3 past paper mark scheme
for gcse
9
284
11
Angles on Parallel Lines
Revision note
24
441
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,
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
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 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.
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 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.
Maths - Year 7 Module 8 - Angles
NOTES
6
244
0
Maths - HIGHER MATH NOTES
NOTES
388
4356
1
Maths - angle facts
angle facts
72
1115
1
Maths - math 2020 3 past paper mark scheme
for gcse
7
601
0
Maths - Angles on Parallel Lines
Revision note
9
284
0
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
441
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
