Find the area of the shaded sector. leave your answer in terms of pie

ANSWER

The area of the shaded sector is

EXPLANATION

The area of a sector is calculated using the formula,

Fro the diagram, the central angle is 90°

The radius of the circle is 2 in.

This finally simplifies to

Area of shaded region = 3.14  in²

Step-by-step explanation:

Formula:-

Area of circle = πr²

Where 'r' is the radius of circle

It is given a circle with radius 2 in.

To find the area of circle

Here r = 2 in

Area = πr²  = 3.14 * 2² = 12.56 in²

To find the area of shaded region

Here central angle of sector = 90°

area of sector= (90/360) * area of circle

 = (1/4)12.56 = 3.14  in²