The area of circle can be expressed by the formula A = πr2where r is a radius of circle. express radius in terms of area of circle.

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Answer:

r=(A/π)^1/2

Step-by-step explanation:

A=πr^2.  When dividing π on both sides, you get r^2 = A/π. Meaning that r = the square root of A/π, or (A/π)^1/2

The radius expressed in terms of the area of the circle is [tex]\mathbf{r =\sqrt{ \dfrac{A}{\pi}} }[/tex]

The area of a circle in geometry is explained to be a region in a two-dimensional plane occupied by a circle. It is expressed by using the formula.

A = πr²

where;

  • r = radius
  • A = area of the circle.

The given question asks us to make (r) the subject of the formula, by doing so, we have:

[tex]\mathbf{r^2 = \dfrac{A}{\pi}}[/tex]

[tex]\mathbf{r =\sqrt{ \dfrac{A}{\pi}} }[/tex]

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