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OCR GCSE Maths Polygons

Polygons

This page covers the following topics:

1. Sum of angles in a polygon
2. Pentagons
3. Hexagons
4. Octagons
5. Decagons

The sum of the angles in a polygon can be found by dividing the polygon into triangles and multiplying the number of triangles by 180ΒΊ. A formula for this is: (n βˆ’ 2) Γ— 180ΒΊ, where n is the number of sides of the polygon.

Sum of angles in a polygon

A pentagon is a five-sided polygon with five angles. The sum of the angles in a pentagon is 540ΒΊ. The sum of the exterior angles of a pentagon is 360ΒΊ.

Pentagons

A hexagon is a six-sided polygon with six angles. The sum of the angles in a hexagon is 720ΒΊ. The sum of the exterior angles of a hexagon is 360ΒΊ.

Hexagons

An octagon is an eight-sided polygon with eight angles. The sum of the angles in an octagon is 1080ΒΊ. The sum of the exterior angles of an octagon is 360ΒΊ.

Octagons

A decagon is a ten-sided polygon with ten angles. The sum of the angles in an octagon is 1440ΒΊ. The sum of the exterior angles of a decagon is 360ΒΊ.

Decagons

1

State how many sides and angles an octagon has.

State how many sides and angles an octagon has.

2

Sketch a diagram of a regular pentagon of side 10 cm.

Sketch a diagram of a regular pentagon of side 10 cm.

3

Calculate the missing values in the given octagon.

Calculate the missing values in the given octagon.

4

Sketch a diagram of a regular hexagon of side 8 cm.

Sketch a diagram of a regular hexagon of side 8 cm.

5

Calculate the missing angle in the given diagram.

Calculate the missing angle in the given diagram.

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