$\"\"$

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Observe the diagram.

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Central angle are $\"\"$ and $\"\"$ .

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Radius of the smaller circle is $\"\"$ in.

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Convert central angle degree measure to radians.

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$\"\"$

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$\"\"$ .

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Find area of a sector of the circle.

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Area of sector : $\"\"$ .

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

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$\"\"$

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Area of shaded region of circle is $\"\"$ . $\"\"$

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Convert central angle degree measure to radians.

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$\"\"$

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$\"\"$ .

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Find area of a sector of the circle.

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

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$\"\"$

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Area of smaller circle is $\"\"$ .

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Total area of shaded region is $\"\"$ .

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$\"\"$

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Total area of shaded region is $\"\"$ .