Answer: Able to find area with statement 1) The length of the segment AB is 10
Above are two statements asking whether I can solve for the shaded areas given the information they have provided.
For my answer I said that I can't get the answer with the two statements individually, but can get the answer if I were to look at both statements and use the information given from them. Am I able to get the radius without knowing the relationship to the chord to the center of the circle?
The shaded area is the difference between the areas of the two semicircles.
Also, by Pythagoras, $(AB/2)^2 =R^2-r^2 $.
This gives what you want.