Mathematics
Angles
Practice questions
If (r=8) cm and (\theta=\frac{3\pi}{4}), what is the perimeter of the corresponding sector?If two angles measure (410^\circ) and (-310^\circ), which statement is correct about them?If (\theta=\frac{23\pi}{5}), in which quadrant will (\theta) lie?Through how many radians does the hour hand of a clock rotate in (2) hours (40) minutes?If an angle measures (\frac{37\pi}{6}), what is its reference angle?If (x) revolutions equal (\frac{15\pi}{2}) radians, what is (x)?In a circle, the central angle is (\frac{2\pi}{3}) and the arc length is (10\pi) cm. What is the radius?If (72^\circ) is converted into radians and written as (\frac{k\pi}{5}), what is (k)?If (\frac{11\pi}{9}) radians is converted into degrees, in which quadrant will the angle lie?If (\theta=1560^\circ), what is the reference angle of (\theta)?If the angle is (-\frac{25\pi}{6}), in which quadrant will its terminal side lie?If two angles are (\frac{5\pi}{7}) and (\frac{19\pi}{7}), how are they related?If (245^\circ) is written in radians as (\frac{m\pi}{36}), what is the value of (m)?If (\theta=\frac{17\pi}{12}), what is the reference angle of (\theta)?If an angle is (\frac{4}{3}) radians, what is its nearest whole number measure in degrees?If a sector with angle (2) radians has arc length (18) cm, what is its area?If (\theta=999^\circ), which pair of principal angle and quadrant is correct?If \(\theta\) is in the second quadrant and its reference angle is \(\frac{\pi}{9}\), what is the principal radian value of \(\theta\)?If (540^\circ) and (\theta) are coterminal and (0^\circ\leq \theta<360^\circ), what is (\theta)?If a circle has radius (21) cm and central angle (40^\circ), what is the arc length?