Question : The side of an equilateral triangle is 12 cm. What is the radius of the circle circumscribing this equilateral triangle?
Option 1: $6 \sqrt{3}\ \text{cm}$
Option 2: $4\sqrt{3}\ \text{cm}$
Option 3: $9 \sqrt{3}\ \text{cm}$
Option 4: $5\sqrt{3}\ \text{cm}$
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Correct Answer: $4\sqrt{3}\ \text{cm}$
Solution :
Given: Side of the equilateral triangle = 12 cm
We know that,
The radius of a circle circumscribing in an equilateral triangle
= $\frac{\text{side}}{\sqrt3}$
= $\frac{12}{\sqrt3}$
= $4\sqrt3\ \text{cm}$
Hence, the correct answer is $4\sqrt3\ \text{cm}$.
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