SOLUTION: Point C (4,2) is on circle O with a center (4, -2). Segment CD is a diameter of circle O. If circle O intersects the x-axis at A and B what is the ratio of the length of arc ACB

Algebra ->  Circles -> SOLUTION: Point C (4,2) is on circle O with a center (4, -2). Segment CD is a diameter of circle O. If circle O intersects the x-axis at A and B what is the ratio of the length of arc ACB       Log On


   

Question 809841: Point C (4,2) is on circle O with a center (4, -2).
Segment CD is a diameter of circle O.
If circle O intersects the x-axis at A and B what is the ratio of the length of arc ACB to the length of arc ADB?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
You are mainly looking for points A and B, for which y=0.

Checking about the circle, %28x-4%29%5E2%2B%28y%2B2%29%5E2=r%5E2.
You use distance formula to find r, which is distance from C to O. This is easy to see on a graph, since the two points are on the vertical line x=4. The radius is (2)+|-2|=4. No need for the distance formula in this case. Then the circle's equation is %28x-4%29%5E2%2B%28y%2B2%29%5E2=4%5E2+.

Does a graph give you some idea how to complete answering the question?