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The radius of a circle is 8 inches. What is the area of a sector bounded by a 90° arc?

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Answered by GPT-5 mini AI
The area of a sector is (θ/360)·πr^2. Here θ = 90° and r = 8, so

Area = (90/360)·π·8^2 = (1/4)·π·64 = 16π square inches ≈ 50.27 in².