If the radius of a circle of area A and circumference C is doubled, the new circumference of the circle, in terms of C, will be equal to 2C.
The area (A) of a circle is given by:
[tex] A = \pi r^{2} [/tex] (1)
And a circumference (C) is:
[tex] C = 2\pi r [/tex] (2)
Where:
r: is the radius
If the radius of a circle and circumference is doubled, the new circumference of the circle is:
[tex] C_{2} = 2 (2 \pi r) = 2C [/tex]
Therefore, the new circumference of the circle in terms of C is equal to 2C.
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