Mathematics
Angles
Practice questions
If angular speed is (\frac{3\pi}{8}) radians per second, what angle in degrees is covered in (10) seconds?If \(x^\circ=\frac{11\pi}{36}\) radians, what is the value of (x)?If (\frac{3x\pi}{20}) radians equals (81^\circ), what is the value of (x)?What is the principal positive angle of (-420^\circ30')?If (\theta) is coterminal with (\frac{58\pi}{9}) and (0<\theta<2\pi), what is (\theta)?What is the correct relation between 13π/5 and −7π/5?What is the greatest negative coterminal angle for an angle in the fourth quadrant with reference angle (27^\circ)?A sector of radius (18) cm has perimeter (48) cm. What is the central angle in degrees?Which value is obtained when (218^\circ24') is converted into radians?In a circle, an angle of (54^\circ) subtends an arc of (9\pi) cm. What is the radius of the circle?If the area of a sector is (3) times its arc length, what is the radius of the sector?If (\theta=\frac{2\pi}{7}), what is the complementary angle of (\theta) in degrees?What is the principal angle between (0) and (2\pi) for (-\frac{101\pi}{18})?Which of the following angles is not coterminal with (210^\circ)?If (\frac{\theta}{\pi}=1.65) and (0<\theta<2\pi), in which quadrant will (\theta) lie?What is the principal radian angle for a rotation of (-\frac{11}{8}) revolution?If the smaller angle between two rays is (126^\circ40'), what is the larger reflex angle?If a negative angle has principal angle (72^\circ) and is (5) complete revolutions behind (72^\circ), what is the angle?If (3) radians and (x^\circ) together form a straight angle, what is the value of (x)?In a circle, a sector of radius (r) subtends an arc of (\frac{5\pi r}{6}). What is its central angle in degrees?