Answer:
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.
<u>To find the area of circle</u>
Here r = 2 in
Area = πr² = 3.14 * 2² = 12.56 in²
<u>To find the area of shaded region</u>
Here central angle of sector = 90°
area of sector= (90/360) * area of circle
= (1/4)12.56 = 3.14 in²