Find the area of a sector with a central angle of $ heta $ in a unit circle
Answer 1
Thomas Walker
To find the area of a sector with a central angle of $ \theta $ in a unit circle, we use the formula:
$ A = \frac{1}{2} r^2 \theta $
Since it is a unit circle, the radius $ r $ is 1. Thus, the formula simplifies to:
$ A = \frac{1}{2} \theta $
So, the area of the sector is:
$ \frac{1}{2} \theta $
Answer 2
Matthew Carter
The area of a sector in a unit circle with a central angle $ heta $ is given by:
$ A = frac{1}{2} r^2 heta $
For a unit circle, $ r = 1 $, so:
$ A = frac{1}{2} heta $
Thus, the area is:
$ frac{1}{2} heta $
Answer 3
Emily Hall
For a sector of a unit circle with central angle $ heta $, the area is:
$ frac{1}{2} heta $
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