The lengths of sides for a regular pentagon are 6 inches each. To the nearest tenth of an inch, find the length of the radius of the pentagon.
A) 4.1 in
B) 4.7 in
C) 4.9 in
D) 5.1 in

Question

Quizplus · Accepted Answer

The radius of a regular pentagon can be found using the formula $r = \frac{s}{2\sin(\pi/n)}$, where $s$ is the side length and $n$ is the number of sides. For a pentagon ($n = 5$) with side length $s = 6$ inches, the radius $r$ is approximately 5.1 inches.

The Lengths of Sides for a Regular Pentagon Are 6