Question

The length of the arc of a sector having central angle $90$ degrees and radius 7 cm is

• A. 22 cm
• B. 44 cm
• C. 11 cm
• D. 33 cm

Answer 1

The correct option is C 11 cm

Since the Central angle is ${90}^{\circ }$, it means it is a Quad-circle.

Now, radius =7cm

Then, length of the arc = Perimeter/4

Perimeter of the Quad-circle $=\frac{2\pi r}{4}=\frac{2\ast \frac{22}{7}\ast 7}{4}=11cm$