Question

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The radius of a circle is 6 meters. What is the area of a sector bounded by a 90° arc?

Answer 1

Area of whole circle = πr^2 = π(6^2) = 36π m^2.
A 90° sector is 90/360 = 1/4 of the circle, so area = (1/4)·36π = 9π m^2 ≈ 28.27 m^2.