Geometryhard · Past Paper

What is the area of a circle inscribed in an equilateral triangle of side 'a'?

Api * a^2 / 12
Bpi * a^2 / 6
Cpi * a^2 / 3
Dpi * a^2 / 4

✓ Correct Answer: Api * a^2 / 12

Inradius r = a / (2 * sqrt(3)). Area = pi * r^2 = pi * (a^2 / 12).

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