Question

The angle subtended by an arc of length $12cm$ at the center of circle whose circumference is $60cm$ is .

• A. 72
• B. 36
• C. 18
• D. None.

Answer 1

The correct option is A 72

Length of arc is given as $12cm$

Circumference of circle is given as $2\pi r=60cm$

Length of arc is given as $\frac{x}{360}\times 2\pi r=12\frac{x}{360}=\frac{12}{60}x=\frac{360}{5}=72$