Question

Find the area of the sector of a circle of radius 5 cm, if the corresponding arc length is 3.5 cm.

Answer 1

Given radius(r) = 5cm
arc length(l)=3.5cm
We know, l=r(x) where x is angle subtended by sector
So, 3.5=5(x)
x=0.7
Area of sector=$\frac{\theta }{{360}^{\circ }}$ x (area of circle with corresponding radius)

=$\frac{0.7}{{360}^{\circ }}$ x (3.14 x 25)
=0.1526 ${cm}^2$