Q. 55.0( 1 Vote )

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

Answer :

Let the radii be r

_{1}and r

_{2}.

Let the angles subtend by the arcs in two circles be θ

_{1}and θ

_{2}.

l = θ r where θ is the angle, l the length of an arc and r the radius of the circle.

θ

_{1}= 60

^{o}= 60 × = radian

θ

_{2}= 75

^{o}= 75 × = radian

r

_{1}= r

_{2}

r

_{1}/ r

_{2 }= =

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 - 0568 mins

Trigonometric Functions - 0152 mins

Graphs of trigonometric ratios | Trigonometric Identities39 mins

Trigo ratios for compound angles48 mins

Conditional Identities31 mins

Transformation formula in compound angles | Interactive Quiz37 mins

Quiz on Graph of Trigonometric Ratios40 mins

Trigonometry ratios of allied angles | Interactive Quiz38 mins

Trigonometric Series45 mins

Trigonometric Functions - 0658 mins

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation