Question

A chain fits tightly around two gears as shown. What is the radius of the smaller gear? Round your answer to the nearest tenth

Answer 1

Do you have a 1.6 option?

Answer 2

I do

Answer 3

I drew some auxiliary lines and formed a right triangle.

Answer 4

There's a rectangle in which opposite sides are congruent.

To get the radius of the smaller gear, subtract the missing leg of the 20 and 21 right triangle from 8. The exact answer is 8 - √41. That is 1.6 approx.