Question

A circle has a circumference of 25. Find the length of an arc whose central angle is 50

Answer 1

19.625 units

Explanation:

`\text{ Arc length } = 2 \pi r * (\theta)/(360)`

• Substituting the given values,

`\begin{gathered}\text{Arc Length } = 2* 3.14 * 12.5 * (50)/(360)\\\\\text{Arc length } = 78.5 * (1)/(4)\\\\\text{Arc Length } = 19.625\end{gathered}`

Thus length of arc is 19.625 units