Mathematics
Angles
Practice questions
If (s=25\pi) cm and the central angle is (225^\circ), what is the radius?If the sector area is (40\pi) square cm and the central angle is (144^\circ), what will be the radius?If ( \theta=\frac{11\pi}{9} ), what is the principal coterminal angle of (2\theta)?If ( \alpha=\frac{7\pi}{10} ) and ( \beta=\frac{13\pi}{10} ), what is the principal angle of ( \alpha+\beta )?After bringing (875^\circ) into the range (0^\circ) to (360^\circ), what is its reference angle?What will be the reference angle of ( -1190^\circ )?If ( \theta=\frac{5\pi}{4} ), what is the principal angle of ( -\theta ) between (0) and (2\pi)?Which angle has (275^\circ) as its principal angle between (0^\circ) and (360^\circ)?Where will the terminal side of \( \frac{41\pi}{6} \) lie?If ( \theta=\frac{14\pi}{5} ), what is the principal coterminal angle of ( \theta-\pi )?If ( \theta=\frac{5\pi}{6} ), on which axis or quadrant will (3\theta) lie?What is ( \frac{7\pi}{18} ) radians in degrees and minutes?If
heta is an angle, which of the following sets represents all angles having the same initial and terminal arms as
heta?A particle moves \( \frac{9\pi}{4} \) radians on a circle. Its terminal side is coterminal with which standard angle?If ( \theta ) is in the third quadrant and its reference angle is (35^\circ), what is the principal value of ( \theta )?If ( \theta ) is in the fourth quadrant and the reference angle is ( \frac{\pi}{9} ), what is the principal radian value of ( \theta )?If (x^\circ) and ( \frac{7\pi}{9} ) radians are complementary, what is the value of (x)?The sum of two angles is ( \frac{11\pi}{6} ) and one of them is (275^\circ). What is the other angle in degrees?If \( \theta=765^\circ \), where is the terminal side of \( \theta \)?An arc is \(12\pi\) cm and it subtends an angle \( \frac{3\pi}{4} \) radians at the same radius. What is the radius?