Question

Area of a sector of circle of radius 14 cm is 154 cm square find the length of corresponding are of sector

Answer 1

Answer:

The arc length is 22 cm.

Step-by-step explanation:

Given : Area of a sector of circle of radius 14 cm is 154 cm square.

To find : The length of corresponding are of sector?

Solution :

Area of sector is defined as

$A=\frac{\theta}{360}\times \pi r^2$

$154=\frac{\theta}{360}\times \frac{22}{7}\times 14^2$

$154=\frac{\theta}{360}\times616$

$\frac{154}{616}=\frac{\theta}{360}$

$\frac{1}{4}=\frac{\theta}{360}$

$\theta=\frac{360}{4}$

$\theta=90$

So, the angle is 90°.

Area length is defined as

$l=\frac{\theta}{360}\times2 \pi r$

$l=\frac{90}{360}\times 2\times\frac{22}{7}\times14$

$l=\frac{1}{4}\times88$

$l=22$

Therefore, The arc length is 22 cm.

Answer 2

Answer:

22 is a answer of our answer