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.

Respuesta :

Answer:

32.5 square inches

Step-by-step explanation:

Area of a sector is calculated using the formula;

[tex]\frac{Central\:angle}{360\degree}\times \pi r^2[/tex]

The central angle is 68 degrees, the radius is 7.4

We substitute the values into the formula to get;

[tex]\frac{68}{360\degree}\times 3.14\times 7.4^2=32.4786[/tex]

We round to the nearest tenth to obtain;

32.5 square inches