Mathematics
Angles
Practice questions
If the arc length is \(15\pi\) cm and the central angle is \(225^\circ\) what is the radius of the circle?A sector perimeter is (3) times its arc length and the radius is (8) cm. What is the central angle?What is the least positive coterminal angle of (-1025^\circ)?In which quadrant will the terminal side of \(\frac{31\pi}{6}\) lie?Which angle is coterminal with \(\frac{5\pi}{8}\) and lies between \(-4\pi\) and \(-2\pi\)?What is the principal angle of the terminal side passing through the point ((-\sqrt{3},1))?What is the principal angle of the fourth-quadrant ray of the line (y=-x)?A wheel turns (11) complete revolutions and then (\frac{2\pi}{3}) radians. What is the total angle in degrees?If \(\theta=\frac{m\pi}{18}\) lies on the negative (x)-axis and \(0<\theta<4\pi\) then what is the sum of possible values of (m)?The reference angle of an angle is (\frac{1}{4}) of a right angle and it lies in the second quadrant. What is the angle?The area of a sector is (\frac{3}{4}) of the area of the whole circle. What is the central angle in radians?What is the radian measure of (-75^\circ15')?If (7x+10^\circ) and (2x-50^\circ) are coterminal then what is the least positive value of (x)?What is the least positive integer (n) such that \(\frac{5\pi}{12}+\frac{n\pi}{6}\) and \(\frac{17\pi}{12}\) are coterminal?After (3) o'clock when will the hour and minute hands first again make a right angle?In a circle of radius (r) the central angle is (150^\circ). What is the ratio of arc length to radius?If (\pi=\frac{22}{7}) and (5) radians are converted into degrees what is the approximate value?If the difference between two angles is (1980^\circ) can they be coterminal?For a sector of radius (12) cm the perimeter and area are numerically equal. What is the central angle?What is the smaller angle between the hour and minute hands at (11:54)?