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    Question

    The area of an equilateral triangle is 64√3

    cm2. Find the radius of the circle that circumscribes the triangle.
    A (32/√3) cm Correct Answer Incorrect Answer
    B (14/√3) cm Correct Answer Incorrect Answer
    C (28/√3) cm Correct Answer Incorrect Answer
    D (16/√3) cm Correct Answer Incorrect Answer

    Solution

    Let length of each side of the triangle be 'a' cm. ATQ; 64√3 = (√3/4) X a2 Or, a2 = 256 So, a = 16 So, circum-radius of equilateral triangle = (a/√3) = (16/√3) cm

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