An equilateral triangle of side 6 cm is inscribed in a circle.

Asked by  | 5th Apr, 2013, 08:14: PM

Expert Answer:

Circumradius = R = abc/(4S), where a,b and c are the lengths of the sides of the triangle and S is the triangle's area

If the triangle is equilateral, then a = b = c and S = ?3/4 a²

? R = a³ / (?3 a²) = 1/?3 a

and a = 6
? R= 1/?3 a

? 6/?3 = 2?3 cm = R = the radius of the circle

Answered by  | 7th Apr, 2013, 07:22: AM

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