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:

$A=\pi r^2\dfrac{\theta}{360^\circ}$

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

$A=(3.14)\cdot (8)^2\cdot \dfrac{60^\circ}{360^\circ}$

$A=(3.14) \cdot (64)\cdot \dfrac{1}{6}$

$A=33.49333....$

Approximate the value to the nearest tenth.

$A\approx 33.5$

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