Question

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

Answer 1

We know that length of an arc is given by,
S = R*X , where X = angle subtended by the arc at center in degrees.
Using this,

S = A*60

S = B*75 ,
ratio of radii = A/B = 75/60 = 5/4

Answer 2

We are given

angle 1= 60° and 75°

To find,

ratio of their radii..

S=

$\frac{70}{60}$

so the answer will be,

$\frac{5}{4}$

in ratio

5:4

hope you got it...

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