Polygon Simulator for maths: year 9, GCSE, IGCSE and GCE OL
Polygons
A closed shape with many sides is a polygon.
Sum of Interior Angles
If the number of sides is n and the sum of interior angles is T,
T = (n-2)180
The table, given below, shows how the sum of interior angles varies with the number of sides.
Sum of Exterior Angles
The sum of exterior angles is 360^{0}, regardless of the number of sides.
Polygon | No of Sides | Sum of Interior Angles |
---|---|---|
Triangle | 3 | 180^{0} |
Square | 4 | 360^{0} |
Pentagon | 5 | 540^{0} |
Hexagon | 6 | 720^{0} |
Heptagon | 7 | 900^{0} |
Octagon | 8 | 1080^{0} |
Nonagon | 9 | 1260^{0} |
Decagon | 10 | 1440^{0} |
You can practise how the number of sides is related to the sum of interior angles - and exterior angles too - with the following simulation.
Please note that the polygons created are regular - sides of equal length.
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