Question

Find the area of a sector with an arc length of $20cm$ and a radius of $6cm$.

• A. $20$ $c{m}^2$
• B. $40$ $c{m}^2$
• C. $60$ $c{m}^2$
• D. $80$ $c{m}^2$

Answer 1

Answer: (C)

$60$ $c{m}^2$

Area of sector $=$ $\frac{Arc.length}{2\pi r}\times \pi r^2$

$=$ $\frac{20}{2\pi r}\times \pi \times 6\times 6=60{cm}^2$