Question

Find the length of the arc on a circle with radius 2.5 meters intercepted by a central angle of 120º. Round to three decimal places.Arc length = meters

Answer 1

Given

The length of the arc on a circle with radius 2.5 meters intercepted by a central angle of 120degrees

Formula

`\begin{gathered} \text{Arc Length =}(\theta)/(360)*2\pi r \\ \end{gathered}`

Where

`\begin{gathered} r=2.5m \\ \theta=120^0 \end{gathered}`

We can substitute into the formula

`\begin{gathered} \text{Arc length =}(120)/(360)*2*3.142*2.5 \\ \\ \text{Arc length =}(120)/(360)*15.71 \\ \\ \\ \text{Arc length =}(1)/(3)*15.71 \\ \\ \text{Arc length =}5.237m \end{gathered}`

The final answer is 5.237m