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Find a function that models the area A of a circle in terms of its circumference C.?

I am looking for a function that models the area ( A ) of a circle in terms of its circumference ( C ). Can anyone help me understand how to derive this relationship? Thank you!

3 Answers

C = 2pi r

r = C/2pi

A = pi r^2 = pi(C/2pi)^2

A = C^2/4pi

CP

A
Anonymous

Nov 11, 2024

Circumference: c=2(pi)r The issues that are common between those 2 take place to be the radius and pi. a=(pi)r^2 you may multiply the circumference function by applying r and divide it by applying 2 to get the radius function, hence: a=(c*r)/2

A
Anonymous

Nov 26, 2024

For Circle,

Area A = 2 pi r^2

Circumference C = 2 pi r

A = 2 pi r r = Cr

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