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

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

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Find the radius or diameter of a circle

Full solution

Q. Q. Find the radius of circle whose area is

616 \mathrm{~cm}^{2}

.

Area Formula: The area of a circle is given by the formula $A = \pi r^2$ , where $A$ is the area and $r$ is the radius. We are given the area $A = 616 \, \text{cm}^2$ , and we need to find the radius $r$ .
Rearrange for $r$ : We can rearrange the formula to solve for $r$ by dividing both sides by $\pi$ : $r^2 = \frac{A}{\pi}$ .
Substitute Area: Substitute the given area into the formula: $r^2 = \frac{616 \, \text{cm}^2}{\pi}.$
Find r: To find r, we take the square root of both sides: $r = \sqrt{\frac{616 \, \text{cm}^2}{\pi}}$ .
Calculate Numerical Value: Using a calculator to find the numerical value, we get $r \approx \sqrt{196 \text{ cm}^2}$ (since $\pi$ is approximately $3.14$ , and $616/3.14$ is close to $196$ ).
Find Radius: Now, we take the square root of $196\,\text{cm}^2$ to find the radius: $r = \sqrt{196}\,\text{cm} = 14\,\text{cm}$ .

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