What is the length of the arc of the sector of a circle with radius 14 cm and of central angle $90^{

Question

What is the length of the arc of the sector of a circle with radius 14 cm and of central angle $90^{\circ}$ ?\

Professor PC Thomas Classes · Answer

(a) : Length of arc of the sector of a circle of radius $r$ and central angle $	heta=\frac{	heta}{360^{\circ}} 	imes 2 \pi r$\ Here, $	heta=90^{\circ}$ and $r=14$\ $	herefore \quad$ Required arc length $=\frac{90^{\circ}}{360^{\circ}} 	imes 2 	imes \frac{22}{7} 	imes 14=22 \mathrm{~cm}$\