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    Question

    Find the circumference and area of a circle with radius

    10.5 cm. Take π = 22/7.
    A Circumference = 45 cm; Area = 326.5 cm² Correct Answer Incorrect Answer
    B Circumference = 66 cm; Area = 346.5 cm² Correct Answer Incorrect Answer
    C Circumference = 86 cm; Area = 376.5 cm² Correct Answer Incorrect Answer
    D Circumference = 56 cm; Area = 225.5 cm² Correct Answer Incorrect Answer

    Solution

    Radius r = 10.5 cm = 21/2 cm Circumference = 2πr = 2 × (22/7) × (21/2) 2 cancels: = (22/7) × 21 = 22 × 3 = 66 cm Area = πr² = (22/7) × (21/2)² = (22/7) × (441/4) = (22 × 441) / 28 Simplify: 441 ÷ 7 = 63, so = (22 × 63) / 4 = 1386 / 4 = 346.5 cm² Answer: Circumference = 66 cm; Area = 346.5 cm².

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