GCEMathematicsMensuration2020

A sector of a circle has an angle of 72° at the centre and a radius of 10 cm. Find the area of the sector. [Take π = 3.14]

A62.8 cm²CORRECT
B31.4 cm²
C125.6 cm²
D18.84 cm²
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Why the answer is A, and why the others tempt you.
Area of sector = (θ/360) × πr² = (72/360) × 3.14 × 100 = 0.2 × 314 = 62.8 cm². Option B results from using radius 5 (half of 10), option C from using θ/180 instead of θ/360, and option D from incorrect simplification of the fraction.
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