Question

Find the area of a sector with a central angle of $120$ degrees and a radius of $10cm$

• A. $10\pi c{m}^2$
• B. $20\pi c{m}^2$
• C. $30\pi c{m}^2$
• D. $40\pi c{m}^2$

Answer 1

The correct option is C $30\pi c{m}^2$

The area of the sector with a central angle and radius value is given by : $\frac{n}{360}\pi r^2$

$=$ $\frac{120}{360}\times \pi \times {10}^2$

$=$ $30\pi c{m}^2$