cutiecomittee123
  • cutiecomittee123
the arc corresponding to a central angle of 35 degrees and a radius of 10 feet is ____ feet long
Mathematics
chestercat
  • chestercat
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cutiecomittee123
  • cutiecomittee123
wouldnt it be s=r(theta) So s=35(10) S=350 feet
muscrat123
  • muscrat123
i have no idea sorry
cutiecomittee123
  • cutiecomittee123
darn thanks anyways, its basic trig

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campbell_st
  • campbell_st
well since the subtended angle is in degree you need to use \[Arc ~length = \frac{\theta}{360} \times 2 \times \pi \times r\] \[\theta = 35 ~~and~~ r = 10\]
campbell_st
  • campbell_st
you need to realize \[\frac{\theta}{360}\] is the fraction of the circle formed by the arc and then you need to find the circumference of the circle and multiply the answer by the fraction

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