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  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



Correct Option: C

According to question , we draw a figure of a circle with radius r ,

θ =
l
;
l1
= 2 ;
l2
= 3
rl2l1

θ1
=
l1r2
= 2 × 3 = 6
θ2l2r1

30°
= 6
θ2

⇒ θ2 =
30°
= 5°
6

θ (radian) =
l
. Here,
θ1
is a ratio.
rθ2



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