azsiawilliams azsiawilliams
  • 24-04-2021
  • Mathematics
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For the given central angle, determine the distance traveled along the unit circle from the point (1,0). 57

For the given central angle determine the distance traveled along the unit circle from the point 10 57 class=

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nuuk nuuk
  • 29-04-2021

Answer: (a)- [tex]0.99\ \text{units}[/tex]

Step-by-step explanation:

Given

Central angle is [tex]57^{\circ}[/tex]

The radius of the unit circle is [tex]1\ \text{unit}[/tex]

Arc length is given by

[tex]\Rightarrow l=\dfrac{\theta}{360^{\circ}}\times 2\pi r[/tex]

Put the values

[tex]\Rightarrow l=\dfrac{57}{360}\times 2\pi \cdot1\\\\\Rightarrow l=0.99\ \text{units}[/tex]

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