Question

if in two circles ,arc of the same length subtend angles 60°and 75°at the centre , find the ratio of their radii? ​

Answer 1

Answer:

Ex 3.1, 6 If in two circles, arcs of the same length subtend angles 60° and 75° at the centre, find the ratio of their radii. We know ...

Step-by-step explanation:

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Answer 2

Answer:

5 : 4

Step-by-step explanation:

l = rp , where l = length of arc, r = radius, p = angle subtended by arc

Given:  $l_{1} = l_{2}$

So, $r_{1} p_{1} = r_{2} p_{2}$

So, r1/r2 = p2 / p1

p1 = 60°

p2 = 75°

Therefore r1 / r2 = p2 / p1 = 75 / 60 = 5 : 4