Question

If the perimeter of a sector is l and radius is r, then what is its area?

Answer 1

Given
Length of arc =l
Radius= r
Then,
Area of sector = 1/2*lenght of arc * radius
Area of sector=1/2*l*r

Answer 2

The area of the sector is $A=\frac{rl}{2}$.

Step-by-step explanation:

Consider the provided information.

The perimeter of a sector is l and radius is r, we need to find the area.

The formula to calculate the area of the sector is:

$A=\frac{RL}{2}$

Where, L  is the arc length and R is the radius of the circle of which the sector is part.

Substitute L=l and R=r in above formula.

$A=\frac{rl}{2}$

Hence, the area of the sector is $A=\frac{rl}{2}$.

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