Question

A circle of radius 8 cm is inscribed in a square, then the area of shaded region is .($\pi =3.14$)

• A. $55.04c{m}^2$
• B. $65.04c{m}^2$
• C. $58.04c{m}^2$

Answer 1

Answer: (A), (C)

The correct options are
A $55.04c{m}^2$
C $58.04c{m}^2$

Area of the circle
$=\pi r^2=3.14\times (8{)}^2=3.14\times 64=200.96c{m}^2$

Now from the given figure, we can say,
Side of the square = diameter of the circle = 16 cm
So, area of the square$={16}^2=256c{m}^2$
Therefore,
The area of the shaded region
= Area of the square - Area of the circle
$=256-200.96$
$=55.04c{m}^2$