Question

What is the approximate area of the shaded sector in the circle shown below?

Answer 1

ANSWER

A. 17.31in²

EXPLANATION

The area of a sector is calculated using the formula:

$Area = \frac{central \: angle}{360 \degree} \times \pi {r}^{2}$

From the diagram, the central angle is:

145° and the radius is 3.7 in.

We substitute the known values to get;

$Area = \frac{145}{360 \degree} \times 3.14 \times {3 .7}^{2} = 17.3{in}^{2}$

The approximate area is 17.3 in² to the nearest tenth.