Question

Given that a circle with radius $r$ has a segment which subtends an angle $\theta <{180}^{\circ }$at the centre, then the length of the arc described by that segment is given by:

• A. $\frac{\theta }{{180}^{\circ }}\times \pi d$
• B. $\frac{\theta }{{360}^{\circ }}\times \pi d$
• C. $\frac{\theta }{{180}^{\circ }}\times 2\pi r$
• D. $\frac{\theta }{{360}^{\circ }}\times \pi r$

Answer 1

The correct option is B $\frac{\theta }{{360}^{\circ }}\times \pi d$

Given that a circle with radius $r$ has a segment which subtends an angle $\theta <{180}^{\circ }$ at the centre, then the length of the arc described by that segment is given by $\frac{\theta }{{360}^{\circ }}\times \pi d$