Question

What is the arc length of the subtendong arc for an angle of 72 degrees in a circle of radius 4

Answer 1

The formula for the arc length of a subtending angle is the following:

`s=2\cdot\pi\cdot r\cdot(\alpha)/(360\~)`

according to this, apply the information into the formula

`s=2\cdot\pi\cdot4\cdot(72)/(360)`

simplify the result

`\begin{gathered} s=(576)/(360)\pi \\ s=(8)/(5)\pi \end{gathered}`