Question

find the area of a sector of a circle of diameter 12 cm whose sector angle is 120° :​

Answer 1

Answer:

answer for the given problem is given

Answer 2

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$\bold{Explanation:}$

Given :

Diameter of circle=12cm

sector angle is 120°

To Find :

Area of sector

We know that Diameter is twice of radius or radius is half of Diameter.

So ,radius = D/2=12/2=6cm

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

$\sf= > \dfrac{120}{360} \times \dfrac{22}{7} \times 6 \times 6$

$\sf= > \dfrac{1}{3} \times \dfrac{22}{7} \times 6 \times 6$

$\sf= > \dfrac{22 \times 2 \times 6}{7}$

$\sf = > \dfrac{264}{7}$

$\sf\:Area = 37.71 {cm}^{2}$

$\therefore$Area of sector is $\sf\:37.71 {cm}^{2}$