Question

If an equilateral triangle is inscribed in a circle, then the ratio of the radius of the circle to that of the side of the triangle is -

• A. 1
• B. 3
• C. 1/√3
• D. 2

Answer 1

The correct option is C

1/√3

$\frac{{9r}^2}{4}$ + $\frac{x^2}{4}$ = x${}^2$

$\frac{r}{x}$ = $\frac{1}{\sqrt{3}}$