Question

If four congruent circles are inscribed in a square with a side length of 20 mm as shown, find the area of the shaded region.

Answer 1

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Answer 2

Area of one circle = 25pi

Area of 4 circles = 100pi

Area of square = 400


Area of shaded region = 400 - 100pi

Answer 3

Since circles are touching side of square, diameter of each circle is half side length
diameter = 10
radius = 5
Area of circle = pi*5^2 = 25pi
4 circles --> total area = 100pi
Area of square = 20^2 = 400
Shaded area = 400 -100pi

Answer 4

400-4(25(3.14)^2)=86