Q. 55.0( 1 Vote )

If, in two circles, arcs of the same length subtend angles of 60o and 75o at the centre, find the ratio of their radii.



Answer :


Let the radii be r1 and r2.
Let the angles subtend by the arcs in two circles be θ1 and θ2.
l = θ r where θ is the angle, l the length of an arc and r the radius of the circle.
θ1 = 60o = 60 × = radian
θ2 = 75o = 75 × = radian
r1 = r2
r1 / r2 = =
Therefore the required ratio is 5:4.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Trigonometric Functions - 05Trigonometric Functions - 05Trigonometric Functions - 0568 mins
Trigonometric Functions - 01Trigonometric Functions - 01Trigonometric Functions - 0152 mins
Graphs of trigonometric ratios | Trigonometric IdentitiesGraphs of trigonometric ratios | Trigonometric IdentitiesGraphs of trigonometric ratios | Trigonometric Identities39 mins
Trigo ratios for compound anglesTrigo ratios for compound anglesTrigo ratios for compound angles48 mins
Conditional IdentitiesConditional IdentitiesConditional Identities31 mins
Transformation formula in compound angles | Interactive QuizTransformation formula in compound angles | Interactive QuizTransformation formula in compound angles | Interactive Quiz37 mins
Quiz on Graph of Trigonometric RatiosQuiz on Graph of Trigonometric RatiosQuiz on Graph of Trigonometric Ratios40 mins
Trigonometry ratios of allied angles | Interactive QuizTrigonometry ratios of allied angles | Interactive QuizTrigonometry ratios of allied angles | Interactive Quiz38 mins
Trigonometric SeriesTrigonometric SeriesTrigonometric Series45 mins
Trigonometric Functions - 06Trigonometric Functions - 06Trigonometric Functions - 0658 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses