Question

Find the area of a sector of a circle with radius 6cm if angle of the sector is 60°. (Take = 22/7)

Answer 1

GIVEN :

• Radius = 6 cm.
• Angle of the sector, $\theta$ = 60°.

TO FIND :

• The area of a sector = ?

FORMULA USED :

• Area of sector = $\sf \dfrac {\theta}{360^{\circ}} \ \times {\pi r^{2}}$

SOLUTION :

Given in the question that,

Radius is 6 cm and area of a sector is 60°.

To find the area of a sector = ?

We know that,

$\qquad \large \red {\boxed {\sf \dfrac {\theta}{360^{\circ}} \ \times {\pi r^{2}}}}$

$\implies \sf \dfrac {60^{\circ}}{360^{\circ}} \times \dfrac {22}{7} \times 6 \times 6$

$\implies \sf 18.85 \ cm^{2}$

$\qquad \large {\boxed {\sf Area \ of \ sector \ = \ 18.85 \ cm^{2}}}$

•°• The area of a sector = 18.85 cm².