SOLUTION: A triangle is inscribed in a circle of radius 3. If the the triangle's angles are 1, 2, and π-3 radians, find the lengths of the three signs. Give the answers accurate to five

Algebra ->  Trigonometry-basics -> SOLUTION: A triangle is inscribed in a circle of radius 3. If the the triangle's angles are 1, 2, and π-3 radians, find the lengths of the three signs. Give the answers accurate to five      Log On


   



Question 971535: A triangle is inscribed in a circle of radius 3. If the the triangle's angles are 1, 2, and π-3 radians, find the lengths of the three signs. Give the answers accurate to five decimal places.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Length of three sides (edited)
1+2+pi-3 radians =2 pi radians.
1 radian is arc length = to a radius.
The arcs are 2 radians, 4 radians and 2(pi-3) radians (inches are unit), the last of which equals 0.29318 inches
The angles are 57.29578, 114.59156, and 8.11261 degrees.
Total is 18.29318 inches or 6*pi