Question

In circle B with m ABC = 68 and AB = 13 units, find the length of arc AC. Round to the nearest hundredth. C B

Answer 1

`\text{Arc}_(length)=15.43\text{ units}`

Step-by-step explanation

the length of an arc is given by:

`\begin{gathered} \\ \text{Arc}_(length)=2\pi\text{ r(}(\Theta)/(360)) \end{gathered}`

where r is the radius and theta is the angle

then

Step 1

Let

radius=13

angle=68

replace

`\begin{gathered} \text{Arc}_(length)=2\pi\text{ r(}(\Theta)/(360)) \\ \text{Arc}_(length)=2\pi\text{ }*13\cdot\text{(}(68)/(360)) \\ \text{Arc}_(length)=15.428 \\ \text{rounded} \\ \text{Arc}_(length)=15.43\text{ units} \end{gathered}`

I hope this helps you