Question

In the given figure, find the area of the unshaded portion within the rectangle.

• A. 11.27 $c{m}^2$
• B. 13.27 $c{m}^2$
• C. 17.27 $c{m}^2$
• D. 19.27 $c{m}^2$

Answer 1

The correct option is D 19.27 $c{m}^2$

Area of a circle $=\pi r^2$
$=\frac{22}{7}\times 3\times 3$
$=28.29c{m}^2$
$\therefore$ Area of the shaded region $=28.29+28.29+\frac{28.29}{2}$
$=70.73c{m}^2$
Area of the rectangle $=15\times 6=90c{m}^2$
$\therefore$ Area of the unshaded region $=(90-70.73)c{m}^2$
$=19.27c{m}^2$