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

Answer:

$\frac{\theta}{2\pi}$

Step-by-step 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 $\frac{\theta}{2\pi}$

Hence, the area of a sector is given by

$A=\frac{\theta}{2\pi}\cdot\pi r^2$

Therefore, we have to multiply  $\frac{\theta}{2\pi}$