Mathematics
Angles
Practice questions
If (A=20^\circ 15') and (B=12^\circ 45'), what is (2A-B)?What is the radian measure of (27^\circ 45')?If the radian measure of (x^\circ) is (\frac{11\pi}{9}), what is (x)?Can two angles be coterminal if their difference is (\frac{35\pi}{3})?What is the principal angle of (-\frac{41\pi}{10}) in ([0,2\pi))?(\theta) lies between (2\pi) and (3\pi) and is coterminal with (75^\circ). What is (\theta)?If (540^\circ+\theta) is coterminal with (70^\circ) and (0^\circ\le\theta<360^\circ), what is (\theta)?If \(\frac{k\pi}{18}\) radians equals \(130^\circ\), what is the value of (k)?What is the principal angle of (-\frac{5\pi}{3}) in the positive direction?Taking (\pi=\frac{22}{7}), what is the central angle in degrees for radius (21) cm and arc length (11) cm?If an arc of (4\pi) cm subtends an angle of (72^\circ), what is the radius of the circle?What is the radian measure of (2.25) complete revolutions?To the nearest minute, approximately how many degrees is (1) radian equal to?If (\theta) and (\phi) are coterminal angles, which expression must be an integer?If two coterminal angles are (a^\circ) and (b^\circ), (a=5b), and (0^\circ<b<360^\circ), what is the least possible value of (b)?For (765^\circ), which quadrant and reference angle are correct?What is the least positive coterminal angle of (-1000^\circ)?What is the sum of the least positive coterminal angles of (-\frac{7\pi}{4}) and (\frac{25\pi}{6})?When (20^\circ) is added to an angle, its measure becomes (\frac{7\pi}{18}) radians. What is the original angle?What is the radian measure of an angle (15') less than (30^\circ)?