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

SOLUTION

The length of an arc is given by

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

Write out the given parametrs, we have

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

Substitute into the formula, we have

$\begin{gathered} \text{Length or arc=} \\ 12\times45=540cm \end{gathered}$

Therefore

The Arc-length of the circle is 540cm