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.

Answer 1

168.56 Square inches
create an equation to solve
(area of the square) - (area of the circle) = Area of shaded region
s^{2} - \pi r^2 = A
s= side of square (28 in)
r = radius (1/2 diameter. diameter = 28. 28/2= 14)
Substitute known values

`28^(2) - (3.14) 14^2 = A`
784-615.44= 168.56 in^2