Question

What is the area of sector with a central angle of 160 and a diameter of 5.8 m? Round the answer to the nearest tenth.

A) 8.1 m^2

B) 4.0 m^2

C) 46.0 m^2

D) 11.7 m^2

Answer 1

`A=11.7\ m^2`

Explanation:

Given that,

Central angle,
`\theta=160^(\circ)`

Diameter,d = 5.8 m

Radius, r = 2.9 m

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

`A=(\theta)/(360)* \pi r^2\\\\=(160)/(360)* 3.14* 2.9^2\\\\=11.7\ m^2`

So, the area of a sector is equal to
`11.7\ m^2`.