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 \(\frac{\theta}{2\pi}\)
