Question

A circle with a central that measures 68° has a radius of 7.4 inches. What is the area of sector AOB? Use 3.14 for , and round your answer to the nearest tenth.

Answer 1

32.5 square inches

Explanation:

Area of a sector is calculated using the formula;

`(Central\:angle)/(360\degree)* \pi r^2`

The central angle is 68 degrees, the radius is 7.4

We substitute the values into the formula to get;

`(68)/(360\degree)* 3.14* 7.4^2=32.4786`

We round to the nearest tenth to obtain;

32.5 square inches