# Does halving the diameter result in half the area?

### 8 Answers

- 1 year agoFavorite Answer
A = pi*r^2

so if you halve the diameter the new area will be

A' = pi*(1/2r)^2 = pi*1/4*r^2

= 1/4 * pi*r^2

So you get 1/4 the area.

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- Φ² = Φ+1Lv 71 year ago
A circle of diameter 𝖽 has one-quarter the area of a circle of diameter 𝟤𝖽.

picture = 1000 words

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- SumDudeLv 71 year ago
No. It results in the radius.

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- KrishnamurthyLv 71 year ago
Halving the diameter results in a fourth of the area.

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- 1 year ago
No. It results in 1/4 of the previous area.

Let's say we have a circle with radius 10.

A=pir^2=pi*10^2=100pi which is about 314

Now let's half that radius to 5.

A=pir^2=pi*5^2=25pi which is about 78.5

314/78.5=4.03 which is basically 4. If we didn't round the area to about 78.5 and about 314,t it would have been 4 exactly.

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- Ender772Lv 71 year ago
no..1/4 the area..and i never learned the math to do that...i have just always remembered that since i learnd it a few years ago

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