Question

A circle with area

36

π

36πstart color #6495ed, 36, pi, end color #6495ed has a sector with a central angle of

11

6

π

6

11

​

πstart color #9d38bd, start fraction, 11, divided by, 6, end fraction, pi, end color #9d38bd radians .

What is the area of the sector?

Either enter an exact answer in terms of

π

πpi or use

3.14

3.143, point, 14 for

π

πpi and enter your answer as a decimal.

Answer 1

`A=5940\ unit^2`

Explanation:

Given that,

The area of a circle,
`A=36\pi`

Central angle,
`\theta=(11\pi)/(6)` = 330

We need to find the area of the sector. The formula for the area of sector is given by :

`A=(\theta)/(360)* \pi r^2\\\\A=(330)/(360)* 36* 180\\\\A=5940\ unit^2`

So, the area of the sector is equal to
`5940\ unit^2`.