SOLUTION: A point on the circle has coordinates (2,m) write a value for m. Center of circle is at (0,0) and the end points are at (6,0) and (-6,0)

Algebra ->  Trigonometry-basics -> SOLUTION: A point on the circle has coordinates (2,m) write a value for m. Center of circle is at (0,0) and the end points are at (6,0) and (-6,0)      Log On


   

Question 583796: A point on the circle has coordinates (2,m) write a value for m. Center of circle is at (0,0) and the end points are at (6,0) and (-6,0)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The equation of the circle is x%5E2%2By%5E2=6%5E2 or simply x%5E2%2By%5E2=36. Now plug in x = 2 and solve for y:

x%5E2%2By%5E2=36

2%5E2%2By%5E2=36

4%2By%5E2=36

y%5E2=36-4

y%5E2=32

y=%22%22%2B-sqrt%2832%29

y=sqrt%2832%29 or y=-sqrt%2832%29

y=4%2Asqrt%282%29 or y=-4%2Asqrt%282%29


So the value of 'm' is 4%2Asqrt%282%29 or -4%2Asqrt%282%29
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Jim