Question

A circle is drawn within a square as shown. What is the best approximation for the area of the shaded region? Use 3.14 to approximate pi. There is a shaded square with a circle inside it and there is a 28 in. Mark on the side of the square.

Answer 1

168.168 square inches

Explanation:

Given data

From the question, we can deduce that the side of the square is 28in

Hence the area of the square is

Area= 28^2

Area= 784 square inches

Also, the diameter of the circle is 28 in

The radius = 14 in

Area of circle= πr^2

Area= 3.142*14^2

Area= 3.142* 196

Area= 615.832 square inches

Therefore the area of the shaded region is

= Area of Square - Area of Circle

= 784-615.832

=168.168 square inches