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Problem 11

In Exercises 11-20, find the distance traveled (arc length) of a point that moves with constant speed \(v\) along a circle in time \(t\). $$ v=2.8 \mathrm{~m} / \mathrm{sec}, t=3.5 \mathrm{sec} $$

Problem 11

$$ \text { In Exercises 11-24, convert each angle measure from degrees to radians. Leave answers in terms of } \pi \text {. } $$$$ 30^{\circ} $$

Problem 11

In Exercises 1-14, find the exact values of the indicated trigonometric functions using the unit circle. $$ \sec 225^{\circ} $$

Problem 11

In Exercises 1-12, find the exact length of each arc made by the indicated central angle and radius of each circle. $$ \theta=48^{\circ}, r=24 \mathrm{~cm} $$

Problem 12

In Exercises 1-14, find the exact values of the indicated trigonometric functions using the unit circle. $$ \csc 300^{\circ} $$

Problem 12

In Exercises 1-12, find the exact length of each arc made by the indicated central angle and radius of each circle. $$ \theta=30^{\circ}, r=120 \mathrm{~cm} $$

Problem 12

$$ \text { In Exercises 11-24, convert each angle measure from degrees to radians. Leave answers in terms of } \pi \text {. } $$ $$ 60^{\circ} $$

Problem 12

In Exercises 11-20, find the distance traveled (arc length) of a point that moves with constant speed \(v\) along a circle in time \(t\). $$ v=6.2 \mathrm{~km} / \mathrm{hr}, t=4.5 \mathrm{hr} $$

Problem 13

In Exercises 11-20, find the distance traveled (arc length) of a point that moves with constant speed \(v\) along a circle in time \(t\). $$ v=4.5 \mathrm{mi} / \mathrm{hr}, t=20 \mathrm{~min} $$

Problem 13

In Exercises 13-24, find the exact length of each radius given the arc length and central angle of each circle. $$ s=\frac{5 \pi}{2} \mathrm{ft}, \theta=\frac{\pi}{10} $$

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