+289 What if this site includes other subjects, such as Literature, Science, History, Geography, and other subjects? I think that would be a good idea and the website could get more popular.
The adjoining figure shows two intersecting chords in a circle, with B on minor arc AD. Suppose that the radius of the circle is 5, that BC = 6, and that AD is bisected by BC. Suppose further that AD is the only chord starting at A which is bisected by BC. It follows that the sine of the central angle of minor arc AB is a rational number. If this number is expressed as a fraction \(\frac{m}{n}\) in lowest terms, what is the product mn?
