vtorres200412 vtorres200412
  • 16-04-2020
  • Mathematics
contestada

in the figure below, AC is a diameter of circle P. the length of PC is 25 units. what is the exact length of arc BCA

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thebeautistamegann thebeautistamegann
  • 16-04-2020

Answer: [tex]\frac{85}{2} \pi[/tex]

Step-by-step explanation:

Circumference is 50 because [tex]2\pi (25)= 50\\[/tex]. BCA= [tex]2\pi -\frac{3}{10}\pi[/tex]. Arc length over circumference = arc measure over radians in a circle. So arc length over [tex]50\pi[/tex] = [tex]\frac{\frac{17}{10}\pi }{2\pi }[/tex]. Arc length = [tex]\frac{17}{10}\pi *\frac{50\pi }{2\pi }[/tex]. Which then equals [tex]\frac{85}{2} \pi[/tex].

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