The length of an arc of a circle is 4 cm and its radius is 6 cm. Find the area of this sector of the circle?

Solution:

If ‘s’ is the length of arc and ‘r’ is radius of a sector then its area ‘A’ is (1/2) × r × s.

Note: If radius and central angle of sector are given then the area of sector is given by (1/2)r²θ.

Here, r = 4 cm and s = 6 cm

A = 1/2 × r × s

A = 1/2 × 4 × 6

A = 12 cm²

The length of an arc of a circle is 4 cm and its radius is 6 cm. Find the area of this sector of the circle?

Summary:

Given the length of an arc of a circle is 4 cm and its radius is 6 cm, the area of the sector of the circle is 12 cm².