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Subjects

Mathematics

Angles

Practice questions

How many radians are equal to (1^\circ)?Taking (\pi=\frac{22}{7}), what is the approximate degree measure of (2) radians?If (3\theta=450^\circ), what is the radian measure of (\theta)?What is the radian measure of an angle (54^\circ) more than (\frac{1}{5}) of a straight angle?A line rotates (125^\circ) anticlockwise and then (410^\circ) clockwise. What is the resulting signed angle in radians?What is the least positive coterminal angle of \(\frac{31\pi}{7}\)?Can there be a non-zero angle whose degree measure is (2) times its radian measure?What is the radian measure of an angle (15^\circ) less than (\frac{\pi}{3}) radians?What is the smaller angle between the hands of a clock at (7:20)?What is the smaller angle between the hands of a clock at (2:50)?Two complementary angles are in the ratio (2:3). What is the radian measure of the larger angle?Two supplementary angles are in the ratio (5:7). What is the radian measure of the smaller angle?If (x^\circ=\frac{7\pi}{20}) radians, what is the value of (x)?In which quadrant will the terminal side of (\frac{13\pi}{15}) radians lie?In which quadrant will the terminal side of (-\frac{23\pi}{8}) lie?What is the least positive coterminal angle of (845^\circ)?Which is the greatest negative angle greater than (-360^\circ) coterminal with (845^\circ)?How can (\frac{19\pi}{6}) be written in terms of complete revolutions and a principal angle?What is the signed angle swept by the minute hand in (47) minutes in radians?Through how many radians does the hour hand rotate in (5) hours (20) minutes?