An equilateral triangle of side √3cm is inscribed i...
An equilateral triangle of side √3cm is inscribed in a circle. Find the radius of the circle.
2/3 cm
2 cm
1 cm
3 cm
Correct answer is C
Since the inscribed triangle is equilateral, therefore the angles at all the points = 60°
Using the formula for inscribed circle,
2R = asinA=bsinB=csinC
where R = radius of the circle; a, b and c are the sides of the triangle.
⇒ 2R = √3sin60
2R = √3√32
2R = 2
R = 1cm
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