area of a shaded sector in a circle

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Problem

area of a shaded sector in a circle

Step-by-step solution

The area of the shaded sector is calculated using the formula: (angle/360) pi r^2. Given angle = 155 degrees and radius r = 8 cm, the area is (155/360) pi 8^2 = 86.9 cm^2.

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Answer

$87 \text{ cm}^2$