91Ó°ÊÓ

Find the radian measure of angle \(\theta\), if \(\theta\) is a central angle in a circle of radius \(r\), and \(\theta\) cuts off an arc of length \(s\). $$ r=12 \text { inches, } s=3 \pi \text { inches } $$

Find the linear velocity of a point moving with uniform circular motion, if the point covers a distance \(s\) in the given amount of time \(t\). \(s=12 \mathrm{~cm}\) and \(t=4 \mathrm{sec}\)

Unless otherwise stated, all answers in this Problem Set that need to be rounded should be rounded to three significant digits. For each of the following problems, \(\theta\) is a central angle in a circle of radius \(r\). In each case, find the length of \(\operatorname{arc} s\) cut off by \(\theta\). $$ \theta=1.5, r=1.5 \mathrm{ft} $$

Use the unit circle to evaluate each function. $$ \sin 30^{\circ} $$

Draw each of the following angles in standard position and then name the reference angle. $$253.8^{\circ}$$

Use the unit circle to evaluate each function. $$ \cos 135^{\circ} $$

Find the radian measure of angle \(\theta\), if \(\theta\) is a central angle in a circle of radius \(r\), and \(\theta\) cuts off an arc of length \(s\). $$ r=3 \text { inches, } s=12 \pi \text { inches } $$

Unless otherwise stated, all answers in this Problem Set that need to be rounded should be rounded to three significant digits. For each of the following problems, \(\theta\) is a central angle in a circle of radius \(r\). In each case, find the length of \(\operatorname{arc} s\) cut off by \(\theta\). $$ \theta=4.2, r=1.8 \mathrm{ft} $$

Find the linear velocity of a point moving with uniform circular motion, if the point covers a distance \(s\) in the given amount of time \(t\). \(s=6 \mathrm{~cm}\) and \(t=2 \mathrm{sec}\)

Draw each of the following angles in standard position and then name the reference angle. $$143.4^{\circ}$$