Knewton Brutal Math Challenge – Feature Edition

by , Apr 14, 2010

What size shirt do you wear?

Actually, we don't care unless you win. First person who answers correctly with shown work wins.

In the figure below, rectangles CABD and PMNQ are inscribed in a circle with center O as shown, such that segment CD lies on segment MN, and points A, B, P, and Q lie on the circle. If the radius of the circle is 25, rectangles CABD and PMNQ have the same dimensions, and the shortest distance from O to segment MN is 6, what is the area of the shaded region?

(A) [pmath]625\pi-420[/pmath]

(B) [pmath]625\pi-500[/pmath]

(C) [pmath]625\pi-640[/pmath]

(D) [pmath]625\pi-840[/pmath]

(E) [pmath]625\pi-960[/pmath]