Area of the Orange-Shaded Region
Level
pending
If the square shown in the figure has an area of 4 sq units,
What is the area of the Orange-Shaded Region shown in the figure correct to two decimal places ?
The answer is 2.28.
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1 solution
You can use Set Theory for this:
If x is the area of the shaded region which is the intersection of two quarter circles,
Area of the square = Area of the bottom quarter circle + Area of the top quarter circle - x
So x = (4 pi/4 + 4 pi/4) - 4 = 2.28