Question

A circle is inscribed in a square of side $14cm.$ Find the area enclosed between the square and the circle.

• A. $42c{m}^2$
• B. $32c{m}^2$
• C. $22c{m}^2$
• D. $52c{m}^2$

Answer 1

The correct option is A $42c{m}^2$

Side of the square =$14cm$
Therefore,
Radius of the inscribed circle=$\frac{14}{2}$
=$7cm$
Area of square=${14}^2$
=$196c{m}^2$
Area of circle=$\pi (7{)}^2$
=$\frac{22}{7}\times 7\times 7$
=$154c{m}^2$
Area enclosed by the square and the circle=$196-154$
=$42c{m}^2$