A circle has a radius of 3. An arc in this circle has a central angle of 20. What is the length of the arc?
2 answers:
Answer:
Step-by-step explanation:
1/3 pi
Circumference of whole circle =
![\pi \times 3 \times 2](https://tex.z-dn.net/?f=%5Cpi%20%5Ctimes%203%20%5Ctimes%202)
360÷20=18
![\frac{1}{18} \times 6\pi = \frac{1}{3} \pi](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B18%7D%20%20%5Ctimes%206%5Cpi%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi)
hence length of arc = 1/3 pi
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