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A circle with center O is inscribed in a square with a

perimeter of 40, as shown below. What is the area of the
shaded region?

A circle with center O is inscribed in a square with a perimeter of 40, as shown below-example-1
User Eayurt
by
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1 Answer

12 votes


\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}

Actually Welcome to the concept of Areas and Volumes.

Area of Shaded region = Area of Square - Area of inscribed Circle.

Radius if circle = 10/2 ==> 5 units

hence,

Area of circle = 25 π units

Area of square = (10)^2 ==> 100 units

hence the area of shaded region = 100 - 25π

==> Area of shaded region = 25 (4 - π)

Correct option is G.)

User Oleg Karasik
by
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