Question 6$AB$ is a diameter of a circle centered at $O.$ $C$ is a point on the circle such that angle $BOC$ is $60^\circ.$ If the diameter of the circle is $5$ inches, the length of chord $AC,$ expressed in inches, is:$3$$\dfrac{5\sqrt2}{2}$$\dfrac{5\sqrt3}{2}$$3\sqrt3$none of these