If the radius of a circle is doubled, then its area will become :

1. doubled

2. halved

3. four times

4. three times

Let r be the radius of circle.

Area of circle = πr²

When the radius is doubled, new radius = 2r

Area of new circle = π x (2r)²

= π x 4r²

= 4πr²

The new area is four times the area of the original circle.

Hence, option 3 is the correct option.