If the area of the circle is doubled, how much will the radius increase or change?
| December 29, 2020 | education
Let the area of the circle S = pi * R², then its radius will be equal to R = √ (S / pi).
If the area of the circle is doubled, i.e .:
2 * S = pi * R²,
then the radius will be:
R = √ (2 * S / pi) = (√2) * √ (S / pi).
Thus, if you double the area of the circle, then its radius will increase √2 times.
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