Question

A circle is drawn within a square as shown, what is the best approximation for the area of the shaded region?

A. 168.56
B. 696.08
C. 740.04
D. 1677.76

Answer 1

This is easy... First calculate the area of the circle. r = 28, pi = 3.14
A = (pi)(r^2) then A = 3.14(28^2)

A = 3.14(28^2) ; Start
A = 3.14(784) ; Square 28
A = 2461.76 ; Multiply 784 by 3.14

Now we have the area for the circle. Now get the area for the square.
Area for a square is A = s^2

We know that the length of the side is 28 inches.

A = 28^2 ; Start
A = 784

Now subtract the area of the square from the circle.
2461.76 - 784 = 1677.76

The answer is D. 1677.76