trigonometry
posted by candace .
Gabe is spending two weeks on an archaeological dig. He finds a fragment of a circular plate that his leader thinks may be valuable. The arc length of the fragment is about 1/6 the circumference of the original complete plate and measures 1.65 inches. A similar plate found earlier has a diameter of 3.14 inches. Write an an expression for the radius, r, of the earlier plate. What is the measure, in radians, of a central angle, θ, that intercepts an arc that is 1/6
the length of the circumference of a circle?

I will be happy to critique your thinking.