Question

In the given figure find the area of shaded region.

• A. 5 $c{m}^2$
• B. 25 $c{m}^2$
• C. 36 $c{m}^2$
• D. 6 $c{m}^2$

Answer 1

The correct option is D 6 $c{m}^2$

Area of shaded region = (Area of $\Delta$ABC + Area of semicircle BPA+ Area of semicircle AQC) - Area of semicircle BAC
$=[\frac{1}{2}\times 3\times 4+\frac{1}{2}\pi {\left(\frac{3}{2}\right)}^2+\frac{1}{2}\pi {\left(\frac{4}{2}\right)}^2]-\frac{1}{2}\pi {\left(\frac{5}{2}\right)}^2$
$=6c{m}^2$