The area of a circle is 112 Find the area of a sector of this Circle whose central angle is 45 degrees.

Suppose that we do not know any formulas for finding the area of a sector of a circle.
Let’s reason like this, a sector is some part of a circle.
If we calculate which one we can find the area of this part (sector).
The full angle is 360 degrees.
Our center angle is 45 degrees, which is 45/360 from the whole circle. Reduce this fraction to get 1/8.
Means since our sector is 1/8 = 0.125 of the circle, then the area of this sector will be 0.125 * 112 = 14.
Answer: area of sector 14



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