Question

In square units, what is the area of the blue sector in the figure above? Round to the nearest tenth.

Answer 1

Given:

A figure of a circle with radius 8. The central angle of the blue sector is 60 degrees.

To find:

The area of the blue sector.

Solution:

Area of a sector is:

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

Where, r is the radius and
`\theta` is the central angle of the sector in degrees.

Putting
`r=8, \theta=60^\circ, \pi=3.14`, we get

`A=(3.14)\cdot (8)^2\cdot (60^\circ)/(360^\circ)`

`A=(3.14) \cdot (64)\cdot (1)/(6)`

`A=33.49333....`

Approximate the value to the nearest tenth.

`A\approx 33.5`

Therefore, the area of the blue sector is about 33.5 sq. units.