Question

The area of a sector of a circle with radius r, making an angle of x° at the centre is ______.

Options

• `x/180xx2pi"r"`

• `x/180xxpi"r"^2`

• `x/360xx2pi"r"`

• `x/360xxpi"r"^2`

Answer 1

 The area of a sector of a circle with radius r, making an angle of x° at the centre is `underlinebb(x/360xxpi"r"^2)`.

Explanation:

A sector with central angle x° is `x/360` of the whole circle.

The whole circle’s area is πr², so the sector area = `x/360 xx πr^2`.