A chord XY of a circle of radius \(14 \mathrm{~cm}\) subtends an angle of \(60^{\circ}\) at the centre. Find the length of \(\operatorname{arc} X\) Y.
A. \(43 / 3 \mathrm{~cm}\)
B. \(33 / 3 \mathrm{~cm} \)
C. \(23 / 3 \mathrm{~cm}\)
D. \(13 / 3 \mathrm{~cm}\)
Correct Answer: A
Explanation
Length of arc \(=\frac{\theta}{360^{\circ}} \times 2 \pi \mathrm{r}\)
\begin{array}{l}
=\frac{60^{\circ}}{360^{\circ}} \times 2 \times \frac{22}{7} \times 14 \mathrm{~cm} \\
=\frac{44}{3} \mathrm{~cm}
\end{array}
