If the length of an arc of a circle of radius r

False
Let two circles C1 and C2 of radius r and 2r with centres O and O’, respectively.

It is given that, the arc length $\mathrm{AB}$ of $C_{1}$ is equal to arc length $C D$ of $C_{2} i, e, A B=C D=l$ (say) Now, let $\theta$, be the angle subtended by arc $\overparen{A B}$ of $\theta_{2}$ be the angle subtended by arc $\overparen{C D}$ at the

$\therefore \quad \widehat{A B}=l=\frac{Q_{1}}{360} \times 2 \pi r$ $\ldots$ (i)

and $\overparen{C D}=l=\frac{\theta_{2}}{360} \times 2 \pi(2 r)=\frac{\theta_{2}}{360} \times 4 \pi r$...(ii)

From Eqs. (i) and (ii),

$\frac{\theta_{1}}{360} \times 2 \pi r=\frac{\theta_{2}}{360} \times 4 \pi r$

$\Rightarrow \quad \theta_{1}=2 \theta_{2}$

i.e., angle of the corresponding sector of C1 is double the angle of the corresponding sector of C2.
It is true statement