In a circle of radius $r$, the distance from centre to a chord of length $r$ is

In a circle of radius $r$, the distance from centre to a chord of length $r$ is
  1. $\dfrac{r\sqrt{3}}{2}$
  2. $r/2$
  3. $r$
  4. $0$

Solution

$d = \sqrt{r^2 - (r/2)^2} = \dfrac{r\sqrt{3}}{2}$.

Asked in: MH-SSC-9

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