Answer:
The area of a sector is
.
Explanation:
A sector is like a slice of the circle. It consists of a region bounded by two radii and an arc lying between the radii.
The area of a sector is a fraction of the area of the circle.
The graph below gives you the formula for the area of sector.
We know that the radius is
and the central angle is
.
So, the area of the sector is
![A=(55)/(360)\pi \left(25\right)^2=(6875\pi )/(72)\approx299.98 \:mm^2](https://img.qammunity.org/2021/formulas/mathematics/college/alc58kabslsb4r57nnvsq106o2deqheh3n.png)