Question

You are given a circle of radius 12. What is the segment area of an arc that is 90 degrees?

Answer 1

Answer:

The segment area $= 113.09\ unit^2$

Step-by-step explanation:

Area of the segment = $\frac{(\theta)}{360} \times \pi r^2$,where $\theta$ is the angle.

We can also say that $90\ degrees$ is covered with one segment and we have total $4$ segments (quadrants),so area of the circle divided by $4$ will give us the segement area of the arc.

So area $\frac{\pi r^2 }{4} =\frac{\pi(12)^2}{4} = 113.09\ units^2$

So the area of the segment $= 113.09 \ units^2$