91Ó°ÊÓ

In Exercises 11-20, find the distance traveled (arc length) of a point that moves with constant speed \(v\) along a circle in time \(t\). $$ v=72 \mathrm{~km} / \mathrm{hr}, t=10 \mathrm{~min} $$

In Exercises 13-24, find the exact length of each radius given the arc length and central angle of each circle. $$ s=\frac{5 \pi}{9} \mathrm{~km}, \theta=\frac{\pi}{180} $$

In Exercises 15-30, use the unit circle and the fact that sine is an odd function and cosine is an even function to find the exact values of the indicated functions. $$ \sin \left(-\frac{5 \pi}{4}\right) $$

$$ \text { In Exercises 11-24, convert each angle measure from degrees to radians. Leave answers in terms of } \pi \text {. } $$ $$ 270^{\circ} $$

$$ \text { In Exercises 11-24, convert each angle measure from degrees to radians. Leave answers in terms of } \pi \text {. } $$ $$ 75^{\circ} $$

In Exercises 11-20, find the distance traveled (arc length) of a point that moves with constant speed \(v\) along a circle in time \(t\). $$ v=750 \mathrm{~km} / \mathrm{min}, t=4 \text { days } $$

In Exercises 15-30, use the unit circle and the fact that sine is an odd function and cosine is an even function to find the exact values of the indicated functions. $$ \sin \left(-\frac{\pi}{3}\right) $$

In Exercises 11-20, find the distance traveled (arc length) of a point that moves with constant speed \(v\) along a circle in time \(t\). $$ v=120 \mathrm{ft} / \mathrm{sec}, t=27 \mathrm{~min} $$

$$ \text { In Exercises 11-24, convert each angle measure from degrees to radians. Leave answers in terms of } \pi \text {. } $$ $$ 100^{\circ} $$

In Exercises 13-24, find the exact length of each radius given the arc length and central angle of each circle. $$ s=4 \pi \text { in., } \theta=\frac{3 \pi}{2} $$