Question

find the circumference of the circle in terms of π. then use the approximation 3.14 for π and approximate the circumference

3.1 yards

a. find the circumference of the circle in terms of π.
the exact circumference is 16.2π yd

b. find the circumference of the circle using 3.14 as an approximation for π.
the approximate circumference is □ yd (round to the nearest thousandth as needed.)

Explanation:

Step1: Recall the formula for circumference

The formula for the circumference of a circle is \(C = 2\pi r\), where \(r\) is the radius. Given \(r = 8.1\) yd.

Step2: Calculate the approximate circumference

Substitute \(\pi=3.14\) into \(C = 16.2\pi\) (from part a, since \(C = 2\times8.1\pi=16.2\pi\)). Then \(C=16.2\times3.14\).

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Answer:

The approximate circumference is \(50.868\) yd.