Answer:
5π or 15.71 inches
Step-by-step explanation:
Length of an arc = [tex]\frac{x}{360}[/tex] × 2πr
Where x is the angle and r is the radius
so [tex]\frac{90\\}{360}[/tex] × 2 × π × 10
0.25 × 2 × π × 10
Arc length = 5π inches (answer in terms of π)
= 15.71 inches (answer in two decimal places)