# In these problem you are asked to find a function that models a real-life situation. Use the principles of modeling described in this Focus to help you. Radius find a function that models the radius r of a circle in term of its area A.

In these problem you are asked to find a function that models a real-life situation. Use the principles of modeling described in this Focus to help you. Radius find a function that models the radius r of a circle in term of its area A.
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krolaniaN

Concept used:
Area of circle is defined as,
$A=\pi {x}^{2}$.....(1)
Here, A is area, x is radius of circle.
Calculation:
Consider the radius of circle is r.
Substitute r for x in equation (1) to obtain the model that express radius of circle.
$A=\pi {r}^{2}$
$\frac{A}{\pi }={r}^{2}$
${r}^{2}=\frac{A}{\pi }$
$r=\sqrt{\frac{A}{\pi }}$
Thus, the function that models the radius of circle in terms of area is $r=\sqrt{\frac{A}{\pi }}$