Question

Find the radius of a circle given that the area is three times its circumference

Answer 1

Radius of the circle = 6 units

Explanation:

Let the radius of the circle be r

According to the given condition:

Area of the circle = 3 times the circumference of the circle

`\therefore \pi r^2 =3* 2\pi r\\\therefore r^2 = (3* 2\pi r)/(\pi)\\\therefore r^2 = 3* 2r\\\therefore r = 6\: units\\`