Mathematics
Angles
Practice questions
If an angle is in the second quadrant and its reference angle is (\frac{5\pi}{18}), what is its principal angle?If the principal angle of (-\theta) is (110^\circ), what is the principal angle of (\theta)?The difference between two coterminal angles is (1440^\circ). How many complete revolutions apart are they?What is the decimal degree measure of (73^\circ20'24'')?In which quadrant will the terminal side of (\frac{107\pi}{12}) lie?If the clockwise angle is (\frac{11\pi}{6}), what is the smaller counterclockwise angle between the same rays?A sector has radius (7) cm and perimeter (22) cm. What is the central angle in radians?If a sector has arc length (16) cm and central angle (4) radians, what is its area?If (126^\circ=\frac{m\pi}{20}) radians, what is the value of (m)?If (300^\circ=\frac{p\pi}{9}) radians, what is the value of (p)?What is the principal angle between (0) and (2\pi) for (-\frac{83\pi}{10})?If (\pi=\frac{22}{7}), through how many radians will a wheel of diameter (70) cm rotate after moving (3080) cm?What is the area of a sector with radius (15) cm and central angle (144^\circ)?If the supplementary angle of an angle is (\frac{7\pi}{15}), what is the original angle in degrees?What is the complementary angle of (37^\circ48')?In which quadrant is the angle (\frac{9}{5}) radians located?If an angle is in the third quadrant and its reference angle is (\frac{2\pi}{11}), what is the principal angle?What is the principal angle of (-725^\circ) in (0^\circ\leq\theta<360^\circ)?A sector has arc length (25) cm and area (100) square cm. What is its central angle in radians?If angular speed is (15^\circ) per second, what is it in radians per minute?