In these problems 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. Radius Find a function that models the radius r of a circle in terms of its area V.

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In these problems 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.  Radius Find a function that models the radius r of a circle in terms of its area V.

estenutC · Accepted Answer

The model we want is a function that gives the radius of the circle.  For the circle,  Area=π(radius)2  Ler R and A be the radius and area of the circle respectively. Then, we have  A=πR2  There is one varying quantity, which is the area A of the circle.  Because the function we want depends on its area A. then, we must express the radius R in terms of its area A.  Consider, A=πR2  Divide by π,  Aπ=R2  Taking the square root on both sides,  Aπ=R2  =R  Thus, R=Aπ  Therefore, the model is the function R that gives the radius of the circle in terms of area A is given by,  R(A)=Aπ,A&amp;gt;0  Thus, the radius of the circle modeled by the function R(A)=Aπ,A&amp;gt;0.  FInal statement:  The radius of the circle modeled by the function R(A)=Aπ,A&amp;gt;0.

In these problems you are asked to find a function that models a real-life situa

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