Question

Find the area of 7-sided regular polygon whose each side measures 8 cm and the radius of inscribed circle is 6 cm.

Answer 1

Side of the given regular polygon, a = 8 cm
Radius of the inscribed circle ,r = 6 cm
Number of sides ,n = 7
∴ Area of the regular polygon = $\frac{1}{2}\times n\times a\times r$
= $\frac{1}{2}\times 7\times 8\times 6$
= 168 cm²