Find the area and the perimeter of the regular polygon shown. 13 m

Answer 1

To find the area and perimeter of a regular polygon, we need to know the number of sides and the length of each side.

The formula to find the area of a regular polygon is:

Area = (n * s^2) / (4 * tan(π/n))

where n is the number of sides, s is the length of each side, and tan() is the tangent function.

The formula to find the perimeter of a regular polygon is simply:

Perimeter = n * s

Given that the regular polygon has 13 sides and each side is 13 meters long, we can plug in these values into the formulas:

Area = (13 * 13^2) / (4 * tan(π/13))
Area ≈ (13 * 169) / (4 * 0.6603)
Area ≈ 2197 / 2.6412
Area ≈ 830.74 square meters

Perimeter = 13 * 13
Perimeter = 169 meters

Therefore, the area of the regular polygon is approximately 830.74 square meters and the perimeter is 169 meters.