Answer:
1360.01 square mm
Explanations:
The formula for calculating the area of a regular pentagon is expressed as:
[tex]A=\frac{5}{2}r^2sin72^0[/tex]
where
r is the radius of the pentagon
Given the following parameters
r = 24mm
Substitute
[tex]\begin{gathered} A=\frac{5}{2}(24)^2sin72^0 \\ A=\frac{5}{2}\times572sin72^0 \\ A=2.5\times544.00 \\ A=1360.01mm^2 \end{gathered}[/tex]
Hence the area of the regular pentagon is 1360.01 square mm
