SOLUTION: (Tough) Find the lengths of both circular arcs of the unit circle connecting (-sqrt2 / 2 , sqrt2 / 2) and the point whose radius makes an angle of 2.05 radians with the positive h
Algebra ->
Trigonometry-basics
-> SOLUTION: (Tough) Find the lengths of both circular arcs of the unit circle connecting (-sqrt2 / 2 , sqrt2 / 2) and the point whose radius makes an angle of 2.05 radians with the positive h
Log On
Question 278878: (Tough) Find the lengths of both circular arcs of the unit circle connecting (-sqrt2 / 2 , sqrt2 / 2) and the point whose radius makes an angle of 2.05 radians with the positive horizontal axis ( What are the answers rounded to 3 decimal places) Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! Find the lengths of both circular arcs of the unit circle connecting (-sqrt2 / 2 , sqrt2 / 2) and the point whose radius makes an angle of 2.05 radians with the positive horizontal axis ( What are the answers rounded to 3 decimal places)
--------------
The point is 135 degs from the + x-axis ( = 0.75pi)
The distance to 2.05 radians = 2.05 - 0.75pi =~ 0.306
The distance the other direction = 2pi - 0.306 =~ 5.977
-----------------------
The distances are r*theta, when the angle theta is in radians. Makes it simple.
