Question

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

Answer 1

A. 17.31in²

Step-by-step explanation

The area of a sector is calculated using the formula:

`Area = (central \: angle)/(360 \degree) * \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 = (145)/(360 \degree) * 3.14 * {3 .7}^(2) = 17.3{in}^(2)`

The approximate area is 17.3 in² to the nearest tenth.