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

beljuA

beljuA

Answered question

2021-09-24

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.

Answer & Explanation

Gennenzip

Gennenzip

Skilled2021-09-25Added 96 answers

Calculation: 
Consider a circle with radius r.
The circle's circumference 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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