Question

Area of a sector having radius 12 cm and arc length 21 cm is

• A. 126 $c{m}^2$
• B. 252 $c{m}^2$
• C. 33 $c{m}^2$
• D. 45 $c{m}^2$

Answer 1

The correct option is A 126 $c{m}^2$

Arc Length : Perimeter = Area of Sector : Area of Circle

$21:2\pi r=AreaofSector:\pi r^2$

$21:24\pi =AreaofSector:144\pi$

Area of Sector $=\frac{144\pi \ast 21}{24\pi }=126c{m}^2$