Question

The area of the sector of a circle with radius 6 cm and of angle 60° is ____________.

Options

• 9.42 cm²

• 37.68 cm²

• 18.84 cm²

• 19.84 cm²

Answer 1

The area of the sector of a circle with a radius of 6 cm and of an angle of 60° is 18.84 cm².

Explanation:

Here r = 6 cm, `theta = 60^circ`

Area of the sector = `theta/360`

`therefore "Area" = 60/360 xx 3.14 xx 6 xx 6`

`= 1/6 xx 3.14 xx 6 xx 6`

`= 3.14 xx 6`

`= 18.84  "cm"^2`