Answer:
[tex]\frac{9\pi }{2}[/tex] feet, or 14.14 feet
Step-by-step explanation:
Use the arc length formula:
s = rθ
To use the formula, we have to convert the central angle to radians.
90° is equivalent to [tex]\frac{\pi }{2}[/tex] radians, so plug this and the radius into the formula:
s = rθ
s = (9)([tex]\frac{\pi }{2}[/tex])
s = [tex]\frac{9\pi }{2}[/tex]
So, the length of the arc is [tex]\frac{9\pi }{2}\\[/tex] feet, or approximately 14.14 feet
