Q:

What is the sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00? 6.75π in.2 20.25π in.2 27π in.2 81π in.2?

Accepted Solution

A:
The sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00 is 27π square inches. Then the correct option is C.What is a circle?It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.The sector area is created by the hands of a clock with a radius of 9 inches when the time is 4:00.Then the radius (r) is 9 inches and the angle is 120°.We know that the area of the sector is given by[tex]\rm Area\ of \ sector = \dfrac{\theta}{360} \pi r^2 \\\\\\Area\ of \ sector = \dfrac{120}{360} \pi * 9^2\\\\\\Area\ of \ sector = 27 \pi[/tex]The sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00 is 27π square inches. Then the correct option is C.More about the circle link is given below.