Solution: From the meaning of the question, because 6 2+8 2 =100 =10 2, the triangle is a right triangle. Draw a semicircle with three sides as the diameter and you can get the picture.

So the area of black is equal to the area of two small semicircles plus the area of triangle minus the area of semicircle.

S black =1/2 (π x3 2+π x4 2)+1/2x6x8-1/2x π x52.

=24

The red area is equal to half the area of the small rectangle plus the square area minus a quarter of the circular area, i.e.

s Red = 1/2x3x 1+3x 3- 1/4xπx3x 3

=2 1/2-9π/4