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Circumference Using the Diameter

publish date:Β 2026/05/17 03:18:34.649284 UTC

volume_mute

A tire has a diameter of 15 inches. Use the formula \(C = \pi D\) to find its circumference. Give the exact answer and an approximation using \(\pi \approx 3.14\).

D = 15 in|←————————→|C = Ο€D = ?

Correct Answer

Exact: \(15\pi\) in; Approx: \(\approx 47.1\) in

Explanation

Using \(C = \pi D\) with \(D = 15\):

\[C = \pi(15) = 15\pi \text{ in (exact)}\]

\[C \approx 15 \times 3.14 = 47.1 \text{ in (approx)}\]

Note: option 2 would be correct if 15 were the radius, giving \(C = 2\pi(15) = 30\pi\). Since 15 is the diameter, we use \(C = \pi D\) directly.

Reference

Mathematics for college students


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