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By ratios.

Linear a:b

Area a^2:b^2

Volume a^3;b^3

If a = 1 Then b = pi(1)^2

Then if a = 2 Then b = pi(2)^2

Hence a = 2 b = 4pi

So if you double the diameter then you increase the area by 4 times.

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lenpollock

Lvl 16
3y ago
This answer is:
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Abdullah Schuster

Lvl 1
3y ago
how do you know that
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Ella McKenzie

Lvl 1
3y ago
can you explain how you know that?
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Leann Raynor

Lvl 1
3y ago
great answer, thxx!
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Wiki User

12y ago

It becomes 4 times as large. Here is a simple example:

A = πr2

For diameter 2, A = π

For diameter 4, A = 22 * π = 4π.

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Q: If you double the diameter of a circle what happens to the area?
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Related questions

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 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.


What happens if double the diameter?

Nothing happens. A person sitting next to you won't know that you did anything to your circle. But you'll have a bigger circle. The radius will be double the originasl radius. The circumference will be double the original circumference. The area will be four times the original area.


When you double the diameter of the area of a circle with the radius of 4 what happens to the circle area?

The radius also doubles as the diameter doubles so the new radius is now 8. This makes the area quadrupal because to find the area you must use the formula nr^2


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

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 diameter is doubled?

the area is increased by 4 times


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 is the diameter of a circle when the area of the circle is 254.34?

Divide the area by Pi. Take the square root of the result. This is the radius. Now double the radius to get the diameter. -> Answer = 18


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.


Does the area of a circle double if its diameter doubles?

The area is four times as large if the diameter doubles.The area of a circle is A = (pi)r2 or (pi)(diameter/2)2Since d is squared, it increases the area by the square of 2 if the diameter is doubled.Try calculating the area for a diameter of 2m, 4m and 8m to prove this.


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

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


How do you get the diameter of a circle?

That depends on what you know. If you know the radius of the circle, double it to get the diameter. If you know the circumference of the circle, divide it by π to get the diameter. If you know the area of the circle, find its square root and divide the result by π to get the radius then multiply by 2 to get the diameter.