Question

find the area of the sector of a circle with radius 5 meters formed by a central angle of 145 degrees. answer in square meters

Answer 1

Given:

Radius, r=5m

Central angle is 145 degrees.

To find the area of the sector:

The area of the sector formula is,

`A=(\theta)/(360)*\pi r^2`

On substitution we get,

`\begin{gathered} A=(145)/(360)*(22)/(7)*5^2 \\ =31.6468\text{ sq. m} \end{gathered}`

Hence, the area is 31.6468 sq. m.