The radius of a circle is 3 miles. What is the length of a 90° arc?

The length of the arc is 4.6375 miles

Step-by-step explanation:

Firstly, find the perimeter of the circle by doing 2*pi*r, you'll get about 18.55 miles.

2*pi*r - --> 2*pi*3 - --> 6*pi - --> ≈ 18.55 miles

Next, plug in x/360, where 360 is the total arc of a circle, and x is the arc you need.

x/360 - --> 90/360 - --> = 0.25

Lastly multiply the two numbers.

18.55 * 0.25 - --> 4.6375 miles is your answer.

(you may need to round your answer if needed)