$\"\"$

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The radius of the circle is $\"\"$ feet.

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The angle of the triangle is $\"\"$ .

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$\"\"$ radians.

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Find the area of the segment.

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Area of the sector : $\"\"$ , where $\"image\"$ is in radians.

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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The area of the sector is $\"\"$ .

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$\"\"$

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The sides of the triangle are $\"\"$ and $\"\"$ .

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The angle of the triangle is $\"\"$ .

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Area of the triangle : $\"\"$ .

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$\"\"$

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Area of the triangle is $\"\"$ .

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$\"\"$

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Observe the figure :

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$\"\"$ .

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Substitute the area of the sector is $\"\"$ and area of the triangle is $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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Area of the segment is $\"\"$ .