Find the radius of circle whose area is 616cm^(2).

Identify formula for area: Identify the formula for the area of a circle. The formula for the area of a circle is A = πr², where A is the area and r is the radius.Set up equation: Set up the equation with the given area. We know the area A = 616 cm², so we can write the equation as 616 = πr².Solve for r²: Solve for r². To find r², we divide both sides of the equation by π: r² = 616 / π.Calculate r²: Calculate r². Using a calculator, we find r² = 616 / π ≈ 196.005 (rounded to three decimal places for intermediate calculation).Take square root: Take the square root of both sides to solve for r. The radius r is the square root of r², so r = √(196.005) ≈ 14.

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Find the radius of circle whose area is 616cm^(2).

Find the radius of circle whose area is $616 \mathrm{~cm}^{2}$ .

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Q. Find the radius of circle whose area is

616 \mathrm{~cm}^{2}

Identify formula for area: Identify the formula for the area of a circle. $\newline$ The formula for the area of a circle is $A = \pi r^2$ , where $A$ is the area and $r$ is the radius.
Set up equation: Set up the equation with the given area. $\newline$ We know the area $A = 616\,\text{cm}^2$ , so we can write the equation as $616 = \pi r^2$ .
Solve for $r^2$ : Solve for $r^2$ . $\newline$ To find $r^2$ , we divide both sides of the equation by $\pi$ : $r^2 = \frac{616}{\pi}.$
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