Question

The area of a circle is πr2. To find the area of a sector with a central angle of Θ, measured in radians, by what should you multiply πr2?

Answer 1

whole circle is 2pi radians

so you should multiply πr² by Θ/(2pi)

yeilding

2Θr^2


anyway, multiply is by
Θ/(2pi)

Answer 2

`(\theta)/(2\pi)`

Explanation:

We will use below points to find the area of the sector;-

• The angle traced in a full rotation is 2π
• The area of a circle is
  `A=\pi r^2`

The central angle is given by Θ. Hence, we have to multiply the area of the circle by a factor
`(\theta)/(2\pi)`

Hence, the area of a sector is given by

`A=(\theta)/(2\pi)\cdot\pi r^2`

Therefore, we have to multiply
`(\theta)/(2\pi)`