Question

The angle subtended at center of circle if the length of arc is $\frac{1}{3}$ times the circumference is (in degree)

• A. 120
• B. 150
• C. 240
• D. 200

Answer 1

The correct option is A 120

The length of arc is $\frac{1}{3}$ times the circumference

So length of arc is $\frac{2}{3}\pi r$

The length of arc is given as $\frac{x}{360}\times 2\pi r=\frac{2}{3}\pi r\frac{x}{360}=\frac{1}{3}x=\frac{360}{3}=120$