Question

Find the arc-length of a circle with the given radius rand central angle 8. Give the answer in the given unit of measure.r= 45 cm; 0 = 12 rad

Answer 1

The length of an arc is given by

`\begin{gathered} \text{Length of arc=}\theta* r \\ \text{Where }\theta\text{is in radians} \end{gathered}`

Write out the given parametrs, we have

`\begin{gathered} r=45 \\ \theta=12rads \end{gathered}`

Substitute into the formula, we have

`\begin{gathered} \text{Length or arc=} \\ 12*45=540cm \end{gathered}`

Therefore

The Arc-length of the circle is 540cm