Question

The area of the shaded region in the given figure is

• A. $\frac{\pi }{3}$ sq. units
• B. $\frac{\pi }{2}$ sq. units
• C. $\frac{\pi }{4}$ sq. units
• D. ${\pi }^2$ sq. units

Answer 1

The correct option is A $\frac{\pi }{3}$ sq. units

Let the angle inscribed in the shaded portion be $a$
Then, $a+60=180$,
$\therefore a=120$
Area of shaded portion = $\frac{a}{360}\pi r^2$
= $\frac{120}{360}\pi (1{)}^2$
$\therefore$ Area of shaded portion$=\frac{\pi }{3}$