Write the x and y coordinates of any point on the unit circle in terms of the angle theta corresponding to that point. then write dy and dx in terms of dtheta. Using this, write an integral (in terms of ) for the length of the unit circle.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

Write the x and y coordinates of any point on the unit circle in terms of the angle theta corresponding to that point. then write dy and dx in terms of dtheta. Using this, write an integral (in terms of ) for the length of the unit circle. 

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