Question

The circumference of a circle is 88cm. Find the area of the sector whose central angle is 72 degree

Answer 1

Answer:- Area of the sector is 123.2 square cm.

Answer 2

The correct answer is 123.2 $cm^{2}$.

Given: The circumference = 88 cm.

Central angle of sector = 72°.

To Find: Area of sector.

Solution:

circumference = 88 cm.

$2\pi r=88$

$\frac{22}{7} r=44$

r = 14 cm.

Area of sector = $\frac{\pi r^{2}Q }{360}$  (Here Q is central angle)

= $\frac{\frac{22}{7}*14*14*72 }{360}$

= 123.2 $cm^{2}$

Hence, the area of sector is  123.2 $cm^{2}$.

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