If the arcs of the same lengths in two circles subtend angles 65°and 110° at the centre, find the ratio of their radii.

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asked Aug 1, 2017 in Mathematics by sforrest072 (157,439 points) 61 410 949

1 Answer

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answered Aug 1, 2017 by Rohit Singh (61,782 points) 35 133 357
selected Aug 1, 2017 by sforrest072
 
Best answer

Solution: Let r1 and r2 be the radii of the two circles. Given that

Let l be the length of each of the arc. Then l = r1θ1 = r2θ2, which gives

Hence r1 : r2 = 22 : 13.

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