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    Find the circumference (in m) of the largest circle that can be drawn completely inside a rectangle with sides 249 m and 217 m. [Take π = 22/7]
    Question

    Find the circumference (in m) of the largest circle that can be drawn completely inside a rectangle with sides 249 m and 217 m. [Take π = 22/7]

    A.

    682

    B.

    690

    C.

    679

    D.

    676

    Correct option is A

    Given:

    Rectangle sides = 249 m and 217 m

    Largest circle inside rectangle → diameter = smaller side = 217 m

    Find circumference.

    Concept Used:

    Largest inscribed circle has diameter equal to the smaller side.

    Circumference of a circle = π×d=2πr\pi \times d = 2 \pi r​​

    Solution:

    Diameter of circle:

    d = 217  m

    Circumference (C)  = 227×217\frac{22}{7} \times 217​​

    = 22 × 31 = 682 m

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