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    Question

    In an equilateral triangle, the length of the side is 18

    cm. A circle is inscribed in the triangle. Find the radius of the circle.
    A 4.5 cm Correct Answer Incorrect Answer
    B 5.2 cm Correct Answer Incorrect Answer
    C 6.4 cm Correct Answer Incorrect Answer
    D 7 cm Correct Answer Incorrect Answer

    Solution

    For an equilateral triangle, the radius of the inscribed circle (r) is given by the formula: r = (side × √3) / 6. Substitute the value of the side (18 cm): r = (18 × √3) / 6 = 3√3 ≈ 5.2 cm.

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