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Subjects

Mathematics

Angles

Practice questions

If (\frac{3\pi}{5}) radians is converted into degrees, what is the angle?If the difference between two coterminal angles is (8\pi), how many complete rotations apart are they?Through how many radians does the minute hand of a clock rotate in (17) minutes?If an angle is (11^\circ 15'), what is its decimal degree measure?In which quadrant does the angle (2.35) radians lie?If \(\theta\) lies in the third quadrant and its reference angle is \(35^\circ\), what is \(\theta\)?If (\theta) lies in the fourth quadrant and the reference angle is (22^\circ), what is the principal angle?In which quadrant will the terminal side of (\frac{19\pi}{6}) radians lie?If the radian measure of (1^\circ) is (\frac{\pi}{180}), what is the radian measure of (1')?Which is the correct radian measure of (1'')?If an angle is (\frac{31\pi}{3}), what is its principal angle?If (\theta=-\frac{17\pi}{4}), what is the coterminal angle between (0) and (2\pi)?If a sector has radius (9) cm and angle (80^\circ), what is the arc length?What is the area of a sector with radius (12) cm and angle (150^\circ)?If a wheel makes (45) revolutions, through how many radians does it rotate?If an angle is (3.9) radians, in which quadrant is it located?If (\theta=\frac{29\pi}{8}), what is the reference angle of (\theta)?If (132^\circ 30') is converted into radians, what is the correct form?If the principal angle of (\theta) is (280^\circ), what is the principal angle of (-\theta)?If (a^\circ) and (\frac{7\pi}{12}) radians represent the same angle, what is (a)?