Calculate the area of a sector in a unit circle with a given central angle $ heta $.

To calculate the area of a sector in a unit circle with a given central angle $ \theta $ (in radians), use the following formula:

$ A = \frac{1}{2} \cdot r^2 \cdot \theta $

Since the radius $ r $ of a unit circle is 1, the formula simplifies to:

$ A = \frac{1}{2} \cdot 1^2 \cdot \theta = \frac{\theta}{2} $

So, the area of the sector is:

$ A = \frac{\theta}{2} $

To find the area of a sector in a unit circle with a given central angle $ heta $, you can use the formula:

$ A = frac{1}{2} cdot r^2 cdot heta $

For a unit circle where $ r = 1 $, this simplifies to:

$ A = frac{1}{2} cdot 1 cdot heta = frac{ heta}{2} $

For a unit circle with radius $ r = 1 $ and a given central angle $ heta $:

$ A = frac{ heta}{2} $

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