The ratio of the area of the inscribed circle to the area of the circumscribed…

GATE · 2021 · ME · Set 2 · General AptitudeGATE · 2021 · MT · General Aptitude

An upright equilateral triangle lies between its outer circumcircle and inner incircle; the triangle vertices touch the outer circle and its three sides touch the inner circle.

The ratio of the area of the inscribed circle to the area of the circumscribed circle of an equilateral triangle is ______

  1. A.

    18\frac{1}{8}

  2. B.

    16\frac{1}{6}

  3. C.

    14\frac{1}{4}

  4. D.

    12\frac{1}{2}

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