the area of the circle is increased by 400%
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.
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.
The circle becomes an oval
If the radius of a sphere is doubled, the surface area increases by (2)2 = 4 times, and the volume increases by (2)3 = 8 times.
the area of the circle is increased by 400%
The area quadruples.
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.
A=pir2 a=pi2r2 a=pi4 r2 a increases by 4 times
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 of the circle will be 4 times greater
the radius is from the center of the circle to the edge so that's how you find the radius.
It quadruples. The area of a circle is Pi (about 3.14159) times the radius squared. So if you double the radius (say from 2m to 4m), you area will change from 4*Pi to 16*Pi (4 times what it was originally).
When the diameter is doubled, perhaps? Then the area is 4 x larger.
300. (Doubling the radius multiplies the area by four times.)
the area is increased by 4 times
If you double the diameter of a circle, the area will quadruple (be 4x greater).The area of the circle increases exponentially with the diameter, or more precisely with the radius, which is 1/2 the diameter. A = (pi)r2Doubling the diameter of a circle will quadruple the area (22 =4).This is easily seen in pizzas, where the dough needed for a 16-inch pizza can be used instead to make 4 pizzas with a diameter of 8 inches.---The equation to find the area of a circle is a=(pi)r2. If the diameter is doubled, then the radius is also doubled, because the radius is just half the diameter.The area of a circle once its radius (and therefore diameter) has been doubled can be expressed as follows: a'=(pi)(2r)2, which simplifies to a'=(pi)(4r2).To find the proportion of a' and a, we just divide the second by the first. This gets us[(pi)(4r2)]/[(pi)(r2)]=4