The diagram shows a circle inscribed inside a square of side length 10 cm. A quarter circle of radius 10 cm is drawn with the vertex of the square as its centre. Find the shaded area.
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The Shaded Area is 57.07 cm
Explanation:
In a square, the area is ,
x² = A
Since the side length is 10 cm and the radius is 10 cm .
It is inferred that the quarter circle is inscribed in the square,
A = πr² Area of the circle
A = πr² / 4 Area of the quarter circle is a quarter circle.
The Area shaded is,
πr₁² - (x² - πr₂² / 4 ) = Shaded Area
25π - ( 100 - 100π / 4 ) = Shaded Area
Shaded Area ≅ 57.07 cm
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