SOLUTION: Figure 3-A shows a square inscribed in a circle. The area of the square is 64 square centimeters. Determine the area of the shaded portion of the circle. Hints:

Question 196711: Figure 3-A shows a square inscribed in a circle. The area of the square is 64 square centimeters. Determine the area of the shaded portion of the circle.

Hints:

If the area of the square is 64 square centimeters, what is the measure of each side of the square?

How might you use the measurement of the sides of the square to determine the diameter (or radius) of the circle?

How will knowing the measure of the diameter (or radius) of the circle help you determine the area of the shaded region?
Part 2
Answer by RAY100(1637) (Show Source): You can put this solution on YOUR website!
Rough sketch helps,,,this shows a circle with a square inside
.
If area of square is 64,, A=s^2, s=8 cm
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If sides = 8, diagonal = sqrt( 8^2 +8^20 = 8sqrt2 = 11.314
.
Diagonal of square = twice radius of circle,, radius = 4sqrt2, = 5.657
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Area of circle = pi r^2 = pi * (4sqrt2)^2 = 100.53
.
Area of shaded = Area of circle - Area of square = 100.53 -64 = 36.53
.
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