Question

A 84-inch strip of metal is bent into a circular hoop. A straight line is drawn from one side of the hoop to the other, passing through the center. What is the length of that line?

Answer 1

According to the statement, we need to find the diameter of the circle formed when the strip was bent. The original length of the strip will be the circumference or diameter of the circle, knowing this, we can find the diameter using the following formula:

`C=D\pi`

Where C is the circumference and D is the diameter. Solve this equation for D and replace to find this value:

`\begin{gathered} D=(C)/(\pi) \\ D=(84)/(\pi) \\ D=26.7 \end{gathered}`

The length of the line that passes through the center of the circle is 26.7in.