$O A C B$ is a quadrant of a circle with centre $O$ and radius 7 cm where $A C B$ is the arc. Then t

Question

$O A C B$ is a quadrant of a circle with centre $O$ and radius 7 cm where $A C B$ is the arc. Then the perimeter of the quadrant is :\

Professor PC Thomas Classes · Answer

(c) : Since, radius $=7 \mathrm{~cm}$\ The length of the $\operatorname{arc} A C B, I=\frac{2 \pi r}{4}$\ $	herefore \quad$ The perimeter of the quadrant $O A C B$ $$ \begin{aligned} & =2 r+1 \ & =2 r+\frac{2 \pi r}{4} \ & =2 	imes 7+2 	imes \frac{22}{7} 	imes \frac{7}{4} \ & =14+11=25 \mathrm{~cm} \end{aligned} $$ \