Question

Find the area of a regular polygon

Answer 1

Answer: Area of the polygon is 43.31 cm^2 t

Step-by-step explanation:

The polygon show in the diagram is a hexagon. It has six sides, since it is a regular hexagon, all the six sides are equal.

From the information given, the apotherm = 5√3

The apotherm is the perpendicular distance from the center of one side of the polygon to the center of the polygon. To determine the area of the polygon,

Area of polygon

=area = a^2n ×tan 180/n

Area = (5√3)^2 tan(180/6)

Area = 5^2×(√3)^2 × tan30

Area = 25×3×0.5774

Area = 43.305

Approximately 43.31 cm^2 to the nearest tenth