Question : The side of an equilateral triangle is 36 cm. What is the radius of the circle circumscribing this equilateral triangle?
Option 1: $13 \sqrt{3} \mathrm{~cm}$
Option 2: $10 \sqrt{3} \mathrm{~cm}$
Option 3: $12 \sqrt{3} \mathrm{~cm}$
Option 4: $9 \sqrt{3} \mathrm{~cm}$
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Correct Answer: $12 \sqrt{3} \mathrm{~cm}$
Solution : Length of side of given equilateral triangle, $a$ = 36 cm We know that circumradius of an equilateral triangle $=\frac{a}{\sqrt{3}}=\frac{36}{\sqrt{3}}=12\sqrt{3}$ Hence, the correct answer is $12 \sqrt{3} \mathrm{~cm}$.
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