Mathematics
Angles
Practice questions
If ( \theta= -\frac{13\pi}{6} ), what is its reference angle?If the principal angle of ( \theta ) is ( \frac{4\pi}{3} ), what is the principal angle of ( \theta+3\pi )?Which angle is coterminal with ( -75^\circ )?If \( \frac{x\pi}{18} \) radians is equal to \(250^\circ\), what is (x)?If (x^\circ=\frac{23\pi}{20}) radians, what is the value of (x)?In a circle (r=6) cm and (s=9) cm. What is the area of the sector made by this arc?Which statement about ( \frac{29\pi}{12} ) and ( \frac{5\pi}{12} ) is correct?If ( \theta=112^\circ30' ), what is its supplementary angle?If ( \theta=38^\circ45' ), what is its complementary angle?If ( \theta=\frac{25\pi}{18} ), what is the principal angle of ( \pi-\theta ) between (0) and (2\pi)?What is the positive coterminal angle between (0) and (2\pi) for the angle (-\frac{7\pi}{6})?If (x^\circ=\frac{5\pi}{18}) radians, what is the value of (x)?What is the principal angle between (0^\circ) and (360^\circ) for (1180^\circ)?If an angle measures (765^\circ), in which quadrant will its terminal side lie?A circle has radius (14) cm and arc length (11) cm. What is the angle subtended at the centre in radians?If a circle of radius (5) cm has central angle (\frac{7\pi}{10}), what is the arc length?In which quadrant will the terminal side of (-940^\circ) lie?If \(\theta=\frac{13\pi}{4}\), what is the principal angle of \(\theta\)?A sector has area (24) square cm and radius (6) cm. What is the central angle in radians?Which value is obtained when (225^\circ) is converted into radians?