Mathematics
Angles
Practice questions
If ( \theta=2^\circ 30' 45'' ), which is the radian measure of ( \theta )?Which value is obtained by converting ( \frac{37\pi}{15} ) radians into degrees?What is the principal coterminal angle of ( -\frac{49\pi}{12} ) between (0) and (2\pi)?What will be the principal angle of ( -2215^\circ ) between (0^\circ) and (360^\circ)?If ( \theta=\frac{31\pi}{8} ), what is its reference angle?In which quadrant does ( \frac{19\pi}{7} ) radians lie?What is the reference angle of (1480^\circ)?The radius of a circle is (18) cm and the arc is (15\pi) cm. What is the central angle in degrees?If (r=9) cm and the sector area is ( \frac{81\pi}{8} ) square cm, what is the central angle in degrees?If arc (s=22) cm and sector area (A=121) square cm, what is the central angle in radians?Through how many radians does the minute hand of a clock turn in (18) minutes?What is the smaller angle between the hour hand and minute hand at (4:40)?If ( \theta ) and ( \phi ) are coterminal and ( \theta=5x+20^\circ ), ( \phi=x+380^\circ ), what is the value of (x)?If (3\theta+45^\circ) and (\theta-135^\circ) are coterminal, what is one value of ( \theta )?If ( \theta=\frac{7\pi}{12} ), what is its supplementary angle in radians?If ( \theta=\frac{5\pi}{18} ), what is its complementary angle in radians?In which interval does the principal coterminal angle of ( -\frac{23\pi}{10} ) lie?For ( \frac{17\pi}{12} ) radians, which is the correct pair of reference angle and quadrant?If an angle measures ( \frac{5}{3} ) radians, what is its approximate degree measure when ( \pi\approx3 )?A wheel turns (42) radians in (7) seconds. Through how many degrees will it turn in (3) seconds?