The triangle shown is a right triangle. The semicircles have the sides of the triangle as diameters. The areas of two of the semicircles are shown. What is the area of the third semicircle?
If we use the pythagorean theorem, then the diameter of the last side is √(49+169) = √218
R=√(54.5)
A=54.5π
Ans= (54.5π)/2 = 27.25π
The triangle shown is a right triangle. The semicircles have the sides of the triangle as diameters. The areas of two of the semicircles are shown. What is the area of the third semicircle?
1/ {sqrt[(7 * 2) / pi]} * 2 = 4.222008246 ( short leg )
2/ {sqrt[(13 * 2) / pi]} * 2 = 5.753627392 ( long leg )
3/ {[sqrt(4.2220082462 + 5.7536273922)] / 2}2 *pi / 2 = 20 u2 ( area of largest semicircle )