Question

A circle of radius 7.5 is inscribed in a square, then the area of shaded region is ($\pi =3.14$)

• A. $48.375c{m}^2$
• B. $49.375c{m}^2$
• C. $48.573c{m}^2$

Answer 1

The correct option is A $48.375c{m}^2$

Area of circle is $\pi r^2=3.14\times 7.5\times 7.5c{m}^2=176.625c{m}^2$
As we know, side of square = diameter of the circle = 15 cm.
So, area of square$=(15{)}^2=225c{m}^2$
Therefore, area of shaded region
$=225-176.625=48.375c{m}^2$