For a sector of a circle with radius $r$ and central angle $ heta$ in…

Question

For a sector of a circle with radius $r$ and central angle $	heta$ in degrees, which formula gives the length of its arc?

Accepted Answer

B. $\dfrac{\pi r	heta}{180}$

Arc length is the same fraction of the full circumference as $	heta$ is of $360^\circ$.
So $l=\dfrac{	heta}{360}\cdot 2\pi r=\dfrac{\pi r	heta}{180}$.
**Option A is the formula for the area of a sector, not its arc length.**

Answer

$\dfrac{\pi r^2	heta}{360}$

Answer

$2\pi r	heta$

Answer

$\dfrac{r	heta}{2}$

For a sector of a circle with radius $r$ and central angle $\theta$ in degrees, which formula gives the length of its arc?

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