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

Updated: 12/8/2022 Wiki User

11y ago

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 Wiki User

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Q: What happens to the area of a circle if the diameter is doubled?
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Still have questions?  Related questions

### What happens to the area of a circle when its doubled?

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

### What happens to the area of a circle when the diameter is doubled?

the area is increased by 4 times

### When the diameter of a circle doubled what happens to the circumference of the circle?

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.

### What happens to the area of the circle when the diameter is doubled?

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.

### If the radius of a circle is doubled what happens to the area of the circle?

the area of the circle is increased by 400%

### How would the area of a circumerancebe affected when the diameter of a circle is doubled or triple?

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 .

### What happens to the area of a circle when the radius is doubled tripled?

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.

### What happens to the area of a circle when the circumference is doubled?

It becomes twice as large

### What happens to the area of a circle if yo double the radius?

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

### What happens to the area of a circle when the radius is doubled?

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