1. Two equal arcs of two circles subtend angle of 60° and 75° at the centre. The ratio of the radii of the two circles is
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By: anil on 05 May 2019 01.50 am
Let the radii of the two circles be $$r_1$$ and $$r_2$$ cm Length of arcs of both circles are equal = $$frac{ heta}{360} imes 2pi r$$ => $$frac{60}{360} imes 2pi r_1$$ = $$frac{75}{360} imes 2pi r_2$$ => $$60r_1=75r_2$$ => $$frac{r_1}{r_2}=frac{75}{60}=frac{5}{4}$$ => Ans - (A)
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