Question

The area of a circle is $(14+6\sqrt{5})\pi$ units, Find its radius.

Answer 1

Area of circle $=(14+6\sqrt{5})\pi$ sq. units

$\pi r^2=(14+6\sqrt{5})\pi$

$r^2=(14+6\sqrt{5})$

$r=\pm \sqrt{14+6\sqrt{5}}$

r cann't be negative.

$\therefore$ Radius of circle $=\sqrt{14+6\sqrt{5}}$units.