Question : The side of an equilateral triangle is 9 cm. What is the radius of the circle circumscribing this equilateral triangle?
Option 1: $2\sqrt{3}$ cm
Option 2: $5\sqrt{3}$ cm
Option 3: $4\sqrt{3}$ cm
Option 4: $3\sqrt{3}$ cm
Correct Answer: $3\sqrt{3}$ cm
Solution :
In an equilateral triangle, the radius of the circumscribed circle (circumradius) can be found using the following formula:
Radius (R) = $\frac{a}{\sqrt3}$, where $a$ is the sides of the triangle.
= $\frac{9}{\sqrt 3}$
= $3\sqrt3$ cm
Hence, the correct answer is $3\sqrt3$ cm.
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