Question : The ratio of inradius and circumradius of an equilateral triangle is:
Option 1: $1:2$
Option 2: $2:1$
Option 3: $1:\sqrt2$
Option 4: $\sqrt2:1$
Correct Answer: $1:2$
Solution : In equilateral triangle, Inradius $= \frac{\text{side}}{2\sqrt3}$ Circumradius $= \frac{\text{side}}{\sqrt3}$ Ratio of inradius and circumradius $= \frac{\text{side}}{2\sqrt3}: \frac{\text{side}}{\sqrt3} = 1:2$ Hence, the correct answer is $1:2$.
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Question : What is the ratio of inradius and circumradius of an equilateral triangle?
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