Question

Area of a sector of angle p (in degrees) of a circle with radius R is ______.

Options

• `p/180  xx 2piR`

• `p/180 xxpiR^2`

• `p/360 xx 2piR`

• `p/720 xx 2 pi R^2`

Answer 1

Area of a sector of angle p (in degrees) of a circle with radius R is `bbunderline(P/720 xx 2 pi R^2)`.

Explanation:

We know that area of sector of angle θ = `theta/360^@ xx piR^2`

Area of sector of angle P = `p/360^@(piR^2)`

`= theta/(360°) xx piR^2`

`= p/(360°) xx piR^2`

`= 2/2 xx (p/(360°) xx piR^2)`

Hence, `p/(720°) xx 2 pi R^2` is the correct answer.