the area of the circle is increased by 400%
It quadruples.
The area quadruples.
the area is increased by 4 times
When the diameter of the circle doubled, its circumference also doubled.However, its area increased to 4 times the original area, while nobody was looking.
It becomes twice as large
The diameter of a circle is doubled if the circumference is doubled.
A=pir2 a=pi2r2 a=pi4 r2 a increases by 4 times
The circumference is doubled or tripled, respectively.
The area of the circle will be 4 times greater
As the area of a circle A equals pi times the radius squared, and doubling the diameter means multiplying the radius by four, the area is multiplied by 16 when you double the diameter.
The area increases as the square of the radius (or diameter). So if you double the radius you * 4 (quadruple) the area. Treble the radius, you *9 the area.