Question

Inscribe a regular pentagon in a circle of radius $3cm$. The interior angles of the pentagon are:

• A. ${54}^{\circ }$
• B. ${60}^{\circ }$
• C. ${162}^{\circ }$
• D. ${108}^{\circ }$

Answer 1

The correct option is D ${108}^{\circ }$

We know that internal angle of regular pentagon is $\frac{(n-2)}{n}{180}^{\circ }$ where n = number of sides.

Here, n = 5.

So, interior angle is $\frac{(5-2)}{5}{180}^{\circ }={108}^{\circ }$

So correct answer is option D