Question 43

What is the ratio of radius of incircle and circumcircle for an equilateral triangle with an area of $$22\surd3$$ square units?

Solution

We know that 

radius of incircle of equilateral triangle = $$\frac{side}{2\sqrt{3}}$$

radius of circumcircle of equilateral triangle = $$\frac{side}{\sqrt{3}}$$

hence there ratio = 1:2


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