Question

The area of circular sector of radius 12 cm is 43.2sq cm find its perimeter

Answer 1

Answer:

$31.2 cm$.

Step-by-step explanation:

We have been a radius $12 cm$ and the area of circular sector is $43.2 sq cm$.

For calculate the perimeter,firstly we find the angle $(θ)$ from the formula of area of sector are as shown below:

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

$43.2=3.14*(12)^2*\frac{theta}{360}$

theta=$34.38$

Find the perimeter of the circle

$P = 2r (1 + \pi *\frac{theta}{360} )\\P = 2*12 (1 + 3.142*\frac{34.38}{360°} )\\P = 24 (1 + 0.3)\\P = 31.2 cm$

Thus, perimeter of circular sector is $31.2 cm$.