Question

The perimeter of a sector of a circle of radius 5.7 m is 27.2 m. Find the area of the sector.

Answer 1

We know that the area A of a sector of circle of radius r and arc length l is given by

Let OAB is the given sector. Then,

arc AB = 15.8 m

So, l = 15.8 m

Now substituting the value of r and l in above formula,

$$\begin{gathered} A=\frac{1}{2}\times 15.8\times 5.7 \\ =45.03m^2 \end{gathered}$$