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Setler79 [48]
3 years ago
8

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

Mathematics
1 answer:
jonny [76]3 years ago
6 0

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

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