Acircle 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

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

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