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

Area Formula: The area of a circle is given by the formula A = πr², where A is the area and r is the radius. We are given the area A = 616 cm², and we need to find the radius r.Rearrange Formula: To find the radius, we rearrange the formula to solve for r: r = √(A/π). We substitute A = 616 cm² into the formula.Calculate Radius: Now we calculate the radius: r = √(616/π). We use the approximate value of π, which is 3.14159.Final Result: Performing the calculation gives us r = √(616/3.14159) ≈ √(196.03477) ≈ 14 cm (rounded to the nearest whole number for simplicity).

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

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Q. Find the radius of circle whose area is

616\,\text{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 Formula: To find the radius, we rearrange the formula to solve for $r$ : $r = \sqrt{\frac{A}{\pi}}$ . We substitute $A = 616 \, \text{cm}^2$ into the formula.
Calculate Radius: Now we calculate the radius: $r = \sqrt{(\frac{616}{\pi})}$ . We use the approximate value of $\pi$ , which is $3.14159$ .
Final Result: Performing the calculation gives us $r = \sqrt{\frac{616}{3.14159}} \approx \sqrt{196.03477} \approx 14$ cm (rounded to the nearest whole number for simplicity).