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: $\sqrt2:1$
Answer (1)
21st Jan, 2024
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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