Quandaries
and Queries 

My problem is as follows: An isosceles trapezoid with bases of lengths 12 and 16 is inscribed in a circle with a radius of 10. The center of the circle lies in the interior of the trapezoid. Find the area of the trapezoid. Thanks for your help! Bruce 

Hi Bruce, The area of a traposoid is the average of the lengths of the parallel sides times the distance between the parallel lines. I drew a rough sketch of your situation.
C is the center of the circle and triangle ABC is a right triangle so you can use Pythagoras' theorem to find AC. Can you complete the problem now? Penny 

