2004 #05 and 37

Time for circles and triangles.

Difficulty: "I never thought it would be THAT."

Difficulty: You can hear it now ... "Why did they just ask for the sum of the areas of the triangles?"

Standard instructions for this series: No calculator allowed. Express answers in reduced form. Rationalize denominators. Radicals must be reduced. All numbers are base ten unless otherwise specified. Do not approximate radicals or π. Leave such answers as 1025π or √39, for example. Source: UVM Math Contest 2004

answer 05, answer 37.