ANSWER
A. 17.31in²
EXPLANATION
The area of a sector is calculated using the formula:
[tex]Area = \frac{central \: angle}{360 \degree} \times \pi {r}^{2} [/tex]
From the diagram, the central angle is:
145° and the radius is 3.7 in.
We substitute the known values to get;
[tex]Area = \frac{145}{360 \degree} \times 3.14 \times {3 .7}^{2} = 17.3{in}^{2} [/tex]
The approximate area is 17.3 in² to the nearest tenth.
