Question

The given figure is a sector of a circle of radius 20 cm. Find the perimeter of the sector.
(Take $\pi$ = 3.14)

• A. 55.25 cm
• B. 60.93 cm
• C. 65.48 cm
• D. 70.17 cm

Answer 1

The correct option is B

60.93 cm

The circumference i.e , perimeter of a sector of angle ${60}^{\circ }$ of a circle with radius R is given by

$\frac{{60}^{\circ }}{360°}\times 2\pi R+2R$

$=\frac{1}{6}\times 2\pi \left(20\right)+2\left(20\right)$

$=20.93+40$

$=60.93cm$