SOLUTION: Find the area of the blue shaded region in the picture, assuming the quadrilateral inside the circle is a square.
Note:
1. There is a square inside a circle.
2. The squar
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-> SOLUTION: Find the area of the blue shaded region in the picture, assuming the quadrilateral inside the circle is a square.
Note:
1. There is a square inside a circle.
2. The squar
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Question 1207916: Find the area of the blue shaded region in the picture, assuming the quadrilateral inside the circle is a square.
Note:
1. There is a square inside a circle.
2. The square is not shaded.
3. The circle is shaded blue.
4. The equation of the circle given is x^2 + y^2 = 36. Answer by mananth(16946) (Show Source):
This equation represents a circle with a radius sqrt(36) = 6 units
Area of circle = pi * r^2 = 36 pi unit ^2
The square is inscribed in a circle
The diagonal of the square is equal to the diameter of the circle.
The diameter of the circle is: Diameter=2r = 12
Let side of square = x
By Pythagoras theorem x^2+x^2= 144
2x^2= 144
x^2=72
x = 6sqrt(2)
Area of shaded portion = area of circle - area of square
=36 pi - 72 unit^2
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