Polygons and their formulas

Polygons and their formulas

Class 5-7

Polygons are closed figures or curves.They are simple ie.the sides do not overlap.They must be made up of line segments

• Circle is the polygon with infinite slides

• Triangle has the last number of sides - 3

Some important formulas

• Exterior angle measure sum(EMS) is always 360 degrees

• Interior angle measure sum (AMS) depends on the sides of the polygon

• AMS property - 180(n-2)

• No. of diagonals - n(n-3)/2

• n refers to the number of sides

• In a circle the AMS is 360 degrees as the angle measure around a point is always 360

Multiple Choice

The number of sides of a polygon with interior angles measuring to a sum of 540 degrees must be

• Triangle

• Decagon

• Pentagon

Multiple Select

Can an interior angle of a figure be 22 degrees?

• No because of EMS

• Yes because the sides need not be a whole number