Question

Find the length of arc AC. Round to the nearest hundredth.

Answer 1

7.33 units

Step-by-step explanation:

We were given the following information:

`\begin{gathered} m\angle ABC=30 \\ AB=14units \end{gathered}`

We will proceed to obtain the length of the arc AB as shown below:

`\begin{gathered} s=2\pi r*(\theta)/(360^(\circ)) \\ \theta=m\angle ABC=30^(\circ) \\ r=AB=14 \\ \text{Substitute the values for the variables into the equation, we have:} \\ s=2\pi*14*(30)/(360) \\ s=(2\pi*14*30)/(360) \\ s=7.330 \\ s=7.33units \\ \\ \therefore s=7.33units \end{gathered}`

Therefore, the length of the arc is 7.33 units