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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
    1. 3°
    2. 4°
    3. 5°
    4. 6°
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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