Question

In a circle of radius 7 cm ,an arc making an angle 120° , then find the area of sector formed ​

Answer 1

the area is 51.3 Sq. cm

Answer 2

The area of sector formed is 51.33 sq cm

Solution:

The area of sector when central angle measured in degrees is:

$Area\ of\ sector = \frac{ \theta}{360} \times \pi r^2$

Where,

"r" is the radius

$\theta$ is the central angle in degrees

From given,

r = 7 cm

$\theta = 120^{\circ}$

Substituting we get,

$Area\ of\ sector = \frac{120}{360} \times \frac{22}{7} \times 7^2\\\\Area\ of\ sector = \frac{120}{360} \times 154\\\\Area\ of\ sector = 51.33$

Thus area of sector formed is 51.33 sq cm

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