Question

the navigator on the ship uses a compass to draw a circle on a nautical chart to indicate the ships position. the circle has a diameter of 34 millimeters. what is the circles circumference? if necessary, round your answer to the nearest hundredth. millimeters submit work it out

Explanation:

Step1: Recall the formula for circumference

The formula for the circumference \(C\) of a circle is \(C=\pi d\), where \(d\) is the diameter.

Step2: Substitute the given diameter

Given \(d = 34\) millimeters. Substitute into the formula: \(C=\pi\times34\).
Using \(\pi\approx3.14159\), then \(C = 3.14159\times34\).

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Step3: Round to the nearest hundredth

Rounding \(106.81406\) to the nearest hundredth (two decimal places). The third - decimal digit is \(4\), so we keep the second - decimal digit as it is.

Answer:

\(106.81\)