Question

What is the area of the pentagon with a radius of 24 mm?

Answer 1

1360.01 square mm

Explanations:

The formula for calculating the area of a regular pentagon is expressed as:

`A=(5)/(2)r^2sin72^0`

where

r is the radius of the pentagon

Given the following parameters

r = 24mm

Substitute

`\begin{gathered} A=(5)/(2)(24)^2sin72^0 \\ A=(5)/(2)*572sin72^0 \\ A=2.5*544.00 \\ A=1360.01mm^2 \end{gathered}`

Hence the area of the regular pentagon is 1360.01 square mm