## Related questions with answers

Question

Find the length to three significant digits of each arc intercepted by a central angle $\theta$ in a circle of radius r. r=15.1 in., $\theta=210^{\circ}$

Solution

VerifiedStep 1

1 of 4$210\text{\textdegree} = 210\cdot 1\text{\textdegree}$

$\text{\color{#4257b2}Recall that: $180\text{\textdegree} = \pi $ radians}$. Therefore, we can substitute $1\text{\textdegree} = \dfrac{\pi }{180}\text{ radians}$

$= 210\cdot \dfrac{\pi }{180}\text{ radians}$

$= (\cancel{30}\cdot 7)\cdot \dfrac{\pi }{(\cancel{30}\cdot 6)}\text{ radians}$

$= \dfrac{7\pi}{6} \text{ radians}$

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