Write the area A of a circle as a function

vakirnarhh 2021-11-25 Answered
Write the area A of a circle as a function of its circumference C.
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Expert Answer

Lupe Kirkland
Answered 2021-11-26 Author has 21 answers
Step 1
Equation for the circumference of a circle.
C=2πr
Step 2
Equation for the area of a circle.
A=πr2
Step 3
Solve for r in terms of C.
C=2πr
r=C2π
Step 4
Plug in the equation for r in terms of C into the equation for the area.
A=πr2
A=π(C2π)2
A=C24π
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Abel Maynard
Answered 2021-11-27 Author has 19 answers
Area of a circle =A=(π)r2
Circumference of a circle =C=2(π)r
Where pi is a constant and r is the radius of the circle.
Using these two formulas we can express A in terms of C as follows:
C2=[2(π)r]2
C2=4[(π)2]r2
C2=4(π)[(π)r2]
As (π)r2=A
C2=4(π)A
Therefore: A=C24(π)
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