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Class 12 · Mathematics

Angular speed is \(\frac{\pi}{15}\) radians per second. How much time is required to turn through \(240^\circ\)?

Class 12 · Mathematics

Through how many radians will the second hand turn in 2 minutes 15 seconds?

Class 12 · Mathematics

Which value is correct when (125^\circ15'30'') is converted into radians?

Class 12 · Mathematics

What is the smaller angle between the hour and minute hands at 7:38?

Class 12 · Mathematics

If the complement of an angle is (\frac{1}{5}) of its supplement then what is the angle?

Class 12 · Mathematics

Keeping the arc length same the radius is increased by (25%). If the earlier central angle was (\frac{5\pi}{8}) what will be the new angle?

Class 12 · Mathematics

Which angle is coterminal with (35^\circ) and greater than (360^\circ) but less than (720^\circ)?

Class 12 · Mathematics

What is the coterminal angle of \(-\frac{41\pi}{9}\) between (0) and \(2\pi\)?

Class 12 · Mathematics

Which pair of angles, in standard position, has the same terminal arm but represents rotations in opposite directions?

Class 12 · Mathematics

In a circle, a sector of radius (r) subtends an arc of (\frac{5\pi r}{6}). What is its central angle in degrees?

Class 12 · Mathematics

If (3) radians and (x^\circ) together form a straight angle, what is the value of (x)?

Class 12 · Mathematics

If a negative angle has principal angle (72^\circ) and is (5) complete revolutions behind (72^\circ), what is the angle?

Class 12 · Mathematics

If the smaller angle between two rays is (126^\circ40'), what is the larger reflex angle?

Class 12 · Mathematics

What is the principal radian angle for a rotation of (-\frac{11}{8}) revolution?

Class 12 · Mathematics

If θ/π = 1.65 and 0 < θ < 2π, in which quadrant will θ lie?

Class 12 · Mathematics

Which of the following angles is not coterminal with (210^\circ)?

Class 12 · Mathematics

What is the principal angle between (0) and (2\pi) for (-\frac{101\pi}{18})?

Class 12 · Mathematics

If (\theta=\frac{2\pi}{7}), what is the complementary angle of (\theta) in degrees?

Class 12 · Mathematics

If the area of a sector is 3 times its arc length, what is the radius of the sector?

Class 12 · Mathematics

In a circle, an angle of (54^\circ) subtends an arc of (9\pi) cm. What is the radius of the circle?