NYPD 1st Trimester Practice Exam

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If a circle has area 78.54 cm^2, what is its radius in centimeters?

7 cm

3 cm

5 cm

The main idea is using the circle area formula A = πr^2 and solving for the radius. Solve for r: r = sqrt(A/π). With A = 78.54 cm^2, r^2 = 78.54 / π. Using π ≈ 3.1416 gives r^2 ≈ 25, so r ≈ 5 cm. Checking: π × 5^2 = π × 25 ≈ 78.54 cm^2, which matches the given area. Radii like 7, 3, or 6 would yield areas far from 78.54 cm^2, so 5 cm is consistent.

6 cm

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