CDS 2025 · PYQ · Geometry / Equilateral Triangle · medium
A circle is inscribed in an equilateral triangle. The radius of the circle is 2 cm. What is the area of the triangle?
- A.12√3 square cm✓ Correct
- B.12 square cm
- C.9√3 square cm
- D.9 square cm
For an equilateral triangle with side a, the inradius r = a/(2√3). Given r = 2, so a = 4√3. Area = (√3/4)a² = (√3/4)(48) = 12√3 sq cm.
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