Finding The Area Of A Circle Drawn Inside A Square

Given the side length of the square = 12 inches

Diameter of the circle = Side length of the square = 12 inches

Radius of the circle = Diameter ÷ 2 = 12 ÷ 2 = 6 inches

Now area of the circle " A" = pi x radius x radius = 3.14 x 6 x 6  = 3.13 x 36 = 113.04 square inches 

Finding the area between the circle and the square:

But there is another question in the given problem asking us to find  the area between the circle and the square boundaries (this is the green  shaded area in the diagram). To do this; follow the given steps below:
 

• Find the area of the square by squaring its sides (side x side).
• Take away the area of the circle from the area of the square to find the area between the  circle and square.

So, let's find the shaded area between the circle and square boundaries. 

Side length of square "s" = 12 inches

Area of the square = s x s = 12 x 12 = 144 square inches

Hence the shaded area = Area of the square - The area of the circle 

                                               = 144 - 113.04 = 30.96 sq.in