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Find the radius of circle whose area is 616 cm2.616\,\text{cm}^{2}.

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Full solution

Q. Find the radius of circle whose area is 616 cm2.616\,\text{cm}^{2}.
  1. Area Formula: The area of a circle is given by the formula A=πr2A = \pi r^2, where AA is the area and rr is the radius. We are given the area A=616 cm2A = 616 \, \text{cm}^2, and we need to find the radius rr.
  2. Rearrange Formula: To find the radius, we rearrange the formula to solve for rr: r=Aπr = \sqrt{\frac{A}{\pi}}. We substitute A=616 cm2A = 616 \, \text{cm}^2 into the formula.
  3. Calculate Radius: Now we calculate the radius: r=(616π)r = \sqrt{(\frac{616}{\pi})}. We use the approximate value of π\pi, which is 3.141593.14159.
  4. Final Result: Performing the calculation gives us r=6163.14159≈196.03477≈14r = \sqrt{\frac{616}{3.14159}} \approx \sqrt{196.03477} \approx 14 cm (rounded to the nearest whole number for simplicity).

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