Find the area of a sector of a unit circle with a central angle of $ heta $ radians

To find the area of a sector of a unit circle with a central angle of $ \theta $, we use the formula for the area of a sector:

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

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

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

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The area of the sector is:

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

The area of a sector of a unit circle with a central angle of $ heta $ radians is given by:

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

For a unit circle, $ r $ is 1, so:

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

For a unit circle with a central angle $ heta $ radians, the area of the sector is:

$ A = frac{ heta}{2} $

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