1. An arc of 30° in one circle is double an arc in a second circle, the radius of which is three times the radius of the first. Then the angles subtended by the arc of the second circle at its centre is
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By: anil on 05 May 2019 01.48 am
For the first circle, angle subtended = 30° and let radius = $$r$$ cm For the second circle, let angle subtended = $$ heta$$ and radius = $$3r$$ cm According to ques, arc of first circle = 2 $$ imes$$ arc of second circle => $$frac{30^circ}{360^circ} 2 pi r = 2 imes frac{ heta}{360^circ} 2 pi (3r)$$ => $$60pi r = 12 imes heta pi r$$ => $$ heta = frac{60}{12}=5^circ$$ => Ans - (C)
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