Mathematics
Angles
Practice questions
If (\theta) and (\frac{5\pi}{2}-\theta) are coterminal and (0<\theta<2\pi) then what is (\theta)?Walking (550) m on a circular path subtends an angle of \(\frac{5\pi}{6}\) at the center. What is the radius of the path?The degree measure of an angle is equal to (60) times its radian measure. What is the angle in radians?If (\alpha=220^\circ) then which reference angle and principal radian angle are correct?The negative coterminal angle of an angle between \(-2\pi\) and (0) is \(-\frac{7\pi}{18}\). What is its principal positive angle?Each interior angle of a regular polygon is (\frac{5\pi}{6}). What is the number of its sides?Two concentric circles have radii (5) cm and (13) cm. For the same central angle their arc lengths differ by (6\pi) cm. What is the central angle?A ray first turns (\frac{17\pi}{6}) counterclockwise and then (\frac{5\pi}{3}) clockwise. What is the final principal angle?If a ray turns (\frac{7}{3}) complete revolutions clockwise from the positive (x)-axis then what is the principal positive angle?The areas of two sectors with the same radius are in the ratio (5:8). If the smaller sector angle is (75^\circ) what is the larger sector angle in radians?What is the correct radian measure of (112^\circ 30')?What is the degree measure of (\frac{7\pi}{12}) radians?Which is the least positive coterminal angle of (-725^\circ)?If an angle is (\frac{11}{6}) of a complete revolution, what is its radian measure?What is the degree measure of (-\frac{17\pi}{18}) radians?In which quadrant will the terminal side of (\theta=1234^\circ) lie?What is the principal angle of (-\frac{29\pi}{6}) in ([0,2\pi))?If arc length is (35) cm and radius is (14) cm, what is the central angle in radians?What is the arc length for radius (8) cm and angle (135^\circ)?Which of the following is not coterminal with (\frac{5\pi}{4})?