In these problem you are asked to find a function that models a real-life situat

beljuA 2021-09-24 Answered
In these problem you are asked to find a function that models a real-life situations. Use the principle of modeling described in this Focus to help you.
Area Find a function that models the area A of a circle in terms of its circumference C.
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Expert Answer

Gennenzip
Answered 2021-09-25 Author has 96 answers
Calculation:
Consider the radius of circle is r.
The circumference of the circle is,
C=2πr
Here, C is circumference of a circle.
Solve the above equation for r as,
C=2πr
C2π=r
r=C2π
Substitute r for x in equation (1) to obtain the model that express area of circle.
A=π(C2π)2
A=πC24π2
A=C24π
Conclusion:
Thus, the function that models the area of circle in terms of circumference is A=C24π
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