$\"\"$

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Use the formula to find the area of the sector.

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$\"\"$

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$\"\"$ (Add)

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Area:

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$\"\"$ (Area of a sector)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Evalute powers)

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$\"\"$ (Simplify) $\"\"$

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Area of circle $\"\"$

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Evalute powers)

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$\"\"$ (Simplify) $\"\"$ $\"\"$ (Geometric probability formula)

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$\"\"$ (Substitute $\"\"$ ) $\"\"$ (Use a calculator) $\"\"$

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The probability that a random point is in the blue sector is about 0.48 or 48%.