SOLUTION: There is a diagram with a square inside a circle. The circle is shaded in, but the square isnt. You have to find the area of the shaded region. The only information given is that t

Question 188033: There is a diagram with a square inside a circle. The circle is shaded in, but the square isnt. You have to find the area of the shaded region. The only information given is that the square has a base and a height of 4. How do you do that?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
There is a diagram with a square inside a circle. The circle is shaded in, but the square isnt. You have to find the area of the shaded region. The only information given is that the square has a base and a height of 4. How do you do that?
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The area of the shaded region is the area of the circle minus the area of the square.
The area of the square = 4*4 = 16 sq units.
The diameter of the circle is the diagonal of the square. Using Pythagoras:

Area of the circle =
AC = pi*32/4 = 8pi
Shaded region = 8pi - 16
= ~ 9.1327 sq units
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