Arc Length and Area of Sector│Please Help!

Question

Two connected gears are rotating. The smaller gear has a radius of 2.5 and the larger gear’s radius is 4.8. What is the angle through which the larger gear has rotated when the smaller gear has rotated 225 degrees?

Answer 1

1. What is the circumference of the 2.3 gear?
2. How much of the circumference is covered in 225°?
3. What is the circumference of the 4.8 gear?
4. Divide #3 by #2.
5. Multiply 360° by #4.