Praxis 5511 Practice Question
A circular playground has an area of 314 square feet. Which of the following is the best estimate of the radius, in feet, of the playground?
Correct Answer: A
Rationale: To find the radius of a circular playground with an area of 314 square feet, we use the area formula \(A = \pi r^2\). Rearranging gives \(r = \sqrt{\frac{A}{\pi}}\). Plugging in the area, we estimate \(r \approx \sqrt{\frac{314}{3.14}} \approx \sqrt{100} = 10\) feet.
Option B (25 feet) overestimates the radius, as it would imply an area of about 1963 square feet. Option C (50 feet) suggests an area of approximately 7854 square feet, which is far too large. Option D (100 feet) results in an area of about 31416 square feet, also incorrect. Thus, option A closely aligns with our calculations.
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