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Problem 34

In \(28-37, \theta\) is the radian measure of a central angle that intercepts an arc of length \(s\) in a circle with a radius of length \(r .\) If \(r=4.2\) and \(s=21,\) find \(\theta\)

Problem 35

In \(28-37, \theta\) is the radian measure of a central angle that intercepts an arc of length \(s\) in a circle with a radius of length \(r .\) If \(r=6\) and \(\theta=\frac{2 \pi}{3},\) find \(s\)

Problem 35

In \(33-38,\) find the exact radian measure \(\theta\) of an angle with the smallest absolute value that satisfies the equation. $$ \tan \theta=1 $$

Problem 36

In \(28-37, \theta\) is the radian measure of a central angle that intercepts an arc of length \(s\) in a circle with a radius of length \(r .\) If \(s=18\) and \(\theta=\frac{6 \pi}{5},\) find \(r\)

Problem 36

In \(33-38,\) find the exact radian measure \(\theta\) of an angle with the smallest absolute value that satisfies the equation. $$ \sec \theta=-1 $$

Problem 37

In \(33-38,\) find the exact radian measure \(\theta\) of an angle with the smallest absolute value that satisfies the equation. $$ \csc \theta=-\sqrt{2} $$

Problem 37

In \(28-37, \theta\) is the radian measure of a central angle that intercepts an arc of length \(s\) in a circle with a radius of length \(r .\) If \(\theta=6 \pi\) and \(r=1,\) find \(s\)

Problem 38

In \(33-38,\) find the exact radian measure \(\theta\) of an angle with the smallest absolute value that satisfies the equation. $$ \cot \theta=\sqrt{3} $$

Problem 38

Circle \(O\) has a radius of 1.7 inches. What is the length, in inches, of an arc intercepted by a central angle whose measure is 2 radians?

Problem 39

In a circle whose radius measures 5 feet, a central angle intercepts an are of length 12 feet. Find the radian measure of the central angle.

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