Question

ij is a radius of the circle. the circumference of the circle is 35.17. find the length of ij, rounding to the nearest tenth.

Explanation:

Step1: Recall the formula for the circumference of a circle

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

Step2: Solve for the radius \(r\)

Given \(C = 35.17\), we substitute into the formula: \(35.17=2\pi r\).
First, we know that \(\pi\approx3.14\). Then \(r=\frac{35.17}{2\pi}\).
Substitute \(\pi = 3.14\) into the formula: \(r=\frac{35.17}{2\times3.14}=\frac{35.17}{6.28}\).

Step3: Calculate the value of \(r\)

\(\frac{35.17}{6.28}\approx5.6\) (rounded to the nearest tenth).

Answer:

\(5.6\)