The exterior angle of a regular pentagon in radian measure is(A) \(\f

1.	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» (B) \(\frac{2\pi^c}5\) Number of sides = 5 Exterior angle = \(\frac{360°}{no \,of \,sides}\) ∴ Exterior angle = \(\frac{360°}{5}\) = \((\frac{360}{5}\times\frac{\pi}{180})^c\) = \(\frac{2\pi^c}5\)

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»

(B) \(\frac{2\pi^c}5\)

Number of sides = 5

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

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

= \(\frac{2\pi^c}5\)