Question

Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.14
as an approximation for
.

A diagram shows a square with a circle cut out of it. The circle touches all four sides of the square, so only the four corners of the square are shaded. The diameter of the circle is 14 feet.

Answer 1

Square area = 14^2 = 196 ft^2.
Circle area = πr^2 = 3.14·7^2 = 3.14·49 = 153.86 ft^2.
Shaded area = 196 − 153.86 = 42.14 ft^2 ≈ 42 ft^2.