Question

If l is the arc length of a sector of a circle of radius r and A is the area of the sector, then A : l = __________.

Answer 1

Arc length of the sector = l units

Radius of the sector = r units

We know

Area of the sector, A $=\frac{1}{2}lr$

$\therefore \frac{A}{l}=\frac{r}{2}$

⇒ A : l = r : 2

If l is the arc length of a sector of a circle of radius r and A is the area of the sector, then A : l = ___r : 2___.