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If in two circles, arcs of the same length subtend angles 45° and 60° at Centre, find the ratio of their radii.(a) 2:3(b) 2:5(c) 3:4(d) 4:3This question was posed to me in class test.The doubt is from Trigonometric Functions topic in division Trigonometric Functions of Mathematics – Class 11

Answer»

The CORRECT answer is (d) 4:3

The EXPLANATION: Given θ1=45° and θ2=60°, L1=L2

We know, θ = l/r

r1 θ1 = r2 θ2

r1/r2=60/45=4/3.

So, RADII are in RATIO 4:3.



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