Question

The exterior angle of a regular pentagon in radian measure is

(A) \(\frac{\pi^c}5\) 

(B) \(\frac{2\pi^c}5\)

(C) \(\frac{3\pi^c}5\)

(D) \(\frac{4\pi^c}5\)

Answer 1

(B) \(\frac{2\pi^c}5\) 

Number of sides = 5

Exterior angle = \(\frac{360°}{no \,of \,sides}\)

∴ Exterior angle = \(\frac{360°}{5}\) = \((\frac{360}{5}\times\frac{\pi}{180})^c\)

= \(\frac{2\pi^c}5\)