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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)r2

Doubling 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.

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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

Q: What happens to the area of a circle if the diameter is doubled?

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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.

It becomes twice as large

Nothing - if you double the radius you will get the diameter. The area of the circle will remain the same

since the volume of a right cylinder is height x area of base, the area of the baseis Pi * r^2 (r is radius which is 1/2 of diameter), so the area of the base did notchange, while the height is doubled so the volume is doubled.

Related questions

When the diameter is doubled, perhaps? Then the area is 4 x larger.

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.

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 is increased by 400%

First of all, there's no such thing as the "area of a circumference". The distancearound the circle is called the "circumference", and the area of the circle is calledthe "area of the circle".-- When the diameter of the circle is doubled, the circumference is doubledand the area is multiplied by 4.-- When the diameter of the circle is tripled, the circumference is tripledand the area is multiplied by 9.-- When the diameter of the circle is multiplied by N, the circumference ismultiplied by N and the area is multiplied by N2 .

It quadruples.

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.

It becomes twice as large

Nothing - if you double the radius you will get the diameter. The area of the circle will remain the same

A=pir2 a=pi2r2 a=pi4 r2 a increases by 4 times