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Class 12 · Mathematics · Expert
→The areas of two sectors with the same radius are in the ratio (5:8). If the smaller sector angle is (75^\circ) what is the larger sector angle in radians?
Class 12 · Mathematics · Expert
→If a ray turns (\frac{7}{3}) complete revolutions clockwise from the positive (x)-axis then what is the principal positive angle?
Class 12 · Mathematics · Expert
→A ray first turns (\frac{17\pi}{6}) counterclockwise and then (\frac{5\pi}{3}) clockwise. What is the final principal angle?
Class 12 · Mathematics · Medium
→Two concentric circles have radii 5 cm and 13 cm. For the same central angle, their arc lengths differ by 6π cm. What is the central angle?
Class 12 · Mathematics · Expert
→Each interior angle of a regular polygon is (\frac{5\pi}{6}). What is the number of its sides?
Class 12 · Mathematics · Expert
→The negative coterminal angle of an angle between \(-2\pi\) and (0) is \(-\frac{7\pi}{18}\). What is its principal positive angle?
Class 12 · Mathematics · Expert
→If (\alpha=220^\circ) then which reference angle and principal radian angle are correct?
Class 12 · Mathematics · Expert
→The degree measure of an angle is equal to (60) times its radian measure. What is the angle in radians?
Class 12 · Mathematics · Expert
→Walking (550) m on a circular path subtends an angle of \(\frac{5\pi}{6}\) at the center. What is the radius of the path?
Class 12 · Mathematics · Expert
→If (\theta) and (\frac{5\pi}{2}-\theta) are coterminal and (0<\theta<2\pi) then what is (\theta)?
Class 12 · Mathematics · Medium
→What is the smaller angle between the hour and minute hands at 11:54?
Class 12 · Mathematics · Expert
→For a sector of radius (12) cm the perimeter and area are numerically equal. What is the central angle?
Class 12 · Mathematics · Expert
→If the difference between two angles is (1980^\circ) can they be coterminal?
Class 12 · Mathematics · Expert
→If (\pi=\frac{22}{7}) and (5) radians are converted into degrees what is the approximate value?
Class 12 · Mathematics · Expert
→In a circle of radius (r) the central angle is (150^\circ). What is the ratio of arc length to radius?
Class 12 · Mathematics · Expert
→After (3) o'clock when will the hour and minute hands first again make a right angle?
Class 12 · Mathematics · Expert
→What is the least positive integer (n) such that \(\frac{5\pi}{12}+\frac{n\pi}{6}\) and \(\frac{17\pi}{12}\) are coterminal?
Class 12 · Mathematics · Expert
→If (7x+10^\circ) and (2x-50^\circ) are coterminal then what is the least positive value of (x)?
Class 12 · Mathematics · Expert
→What is the radian measure of (-75^\circ15')?
Class 12 · Mathematics · Expert
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