In a circle O that circumscribes an equilateral triangle ABC, let M be the point on the arc of circle O that does not have the point B. What type of question is appropriate for determining properties related to this scenario?

a. Find the coordinates of point M.
b. Determine the radius of circle O.
c. Explore the properties of the inscribed equilateral triangle ABC.
d. Investigate the angle formed by points A, B, and M.