Question

An arc of circle having measure ${30}^{\circ }$ has a length 20 m then circumference of the circle is

• A. $240cm$
• B. $600m$
• C. $120m$
• D. None

Answer 1

The correct option is A $240cm$

Length of an arc subtending an angle $\theta =\frac{\theta }{360}\times 2\pi R$ where R is the radius of the circle.
Also, $2\pi \times R$ is the formula to calculate the Circumference of the
circle.
So, $20=\frac{30}{360}\times$ Circumference
Hence, Circumference of the circle $=240cm$