Mathematics
Angles
Practice questions
Which pair of angles, in standard position, has the same terminal arm but represents rotations in opposite directions?What is the coterminal angle of \(-\frac{41\pi}{9}\) between (0) and \(2\pi\)?Which angle is coterminal with (35^\circ) and greater than (360^\circ) but less than (720^\circ)?Keeping the arc length same the radius is increased by (25%). If the earlier central angle was (\frac{5\pi}{8}) what will be the new angle?A sector has perimeter (32) cm and arc length (12) cm. What is its central angle in radians?If the complement of an angle is (\frac{1}{5}) of its supplement then what is the angle?What is the smaller angle between the hour and minute hands at (7:38)?Which value is correct when (125^\circ15'30'') is converted into radians?Through how many radians will the second hand turn in (2) minutes (15) seconds?Angular speed is \(\frac{\pi}{15}\) radians per second. How much time is required to turn through \(240^\circ\)?If the arc length is (\frac{1}{3}) of the circumference then what is the central angle in radians?If (5\theta+20^\circ) and (\theta+140^\circ) are coterminal angles then what is the least positive value of (\theta)?An angle lies in the second quadrant and its reference angle is (18^\circ). What is the angle in radians?If in radians the complement of an angle is \(\frac{1}{3}\) of its supplement then what is the angle?Convert the angle (18^\circ24') into radians.In which quadrant will the terminal side of (-1460^\circ) lie?What is the reference angle of (\frac{7\pi}{5})?The total angle is (\frac{53\pi}{12}) radians. If it consists of some complete revolutions plus an extra angle of (75^\circ) what is the number of complete revolutions?Through how many radians does the minute hand turn from 4:12 to 4:47?Through how many radians does the hour hand turn from (1:20) to (6:50)?