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 Log in to Reply

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