Question

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

Answer 1

Answer: $\frac{85}{2} \pi$

Step-by-step explanation:

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