Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the radius of a circle is 1.8 ft. find the circumference to the nearest…

Question

the radius of a circle is 1.8 ft. find the circumference to the nearest tenth.

Explanation:

Step1: Recall the formula for circumference

The formula for the circumference of a circle is \(C = 2\pi r\) or \(C=\pi d\) (where \(r\) is the radius and \(d = 2r\) is the diameter). Given \(r=1.8\) ft.

Step2: Substitute the radius into the formula

Using \(C = 2\pi r\), substitute \(r = 1.8\). So \(C=2\times\pi\times1.8\).

Step3: Calculate the value

\(C = 3.6\pi\). Using \(\pi\approx3.14\), then \(C\approx3.6\times3.14 = 11.304\).

Answer:

\(11.3\) ft