SOLUTION: An ant starts at the point (1,0) on the unit circle and walks counterclockwise a distance of 2 units around the circle. Find the x and y coordinates (accurate to two decimal place

Algebra ->  Circles -> SOLUTION: An ant starts at the point (1,0) on the unit circle and walks counterclockwise a distance of 2 units around the circle. Find the x and y coordinates (accurate to two decimal place      Log On


   

Question 1136716: An ant starts at the point (1,0) on the unit circle and walks counterclockwise a distance of 2 units around the circle. Find the x and y coordinates (accurate to two decimal places) of the final location of the ant.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
In the same units, the circumference is:
+C+=+2pi%2A1+
The angle in radians from origin to the new point is:
+%28+2%2F%28+2pi+%29%29%2A2pi+=+2%0D%0A%7B%7B%7B+sin%28+2+%29+=+.9093+
+cos%28+2+%29+=+-.4161+
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Note that 2 radians is more than pi/2 ( 90 degrees ),
so the point is in the 2nd quadrant
( -.42, .91 )
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Get a 2nd opinion if needed. I'm assuming
the center is at origin