SOLUTION: Sketch the graph of a circle with circumference 20 pi units and passes through the points (0,-6), (0,10) and (2,4). Identify the radius, center and where it cuts the axes if it doe

Question 967370: Sketch the graph of a circle with circumference 20 pi units and passes through the points (0,-6), (0,10) and (2,4). Identify the radius, center and where it cuts the axes if it does
Answer by josgarithmetic(39623) (Show Source): You can put this solution on YOUR website!
Use the circumf to determine the radius. Plot the three given points to find an idea about where the center will be located. Distance Formula will then help to more accurately find the coordinates for the center.

Notice that two points given have the same x coordinate, forming a chord. That will also be helpful (chord which the diameter bisects at a right angle).

I did not calculate anything. Just gave some advice for solving.

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, the radius size.

The two points on the circle given (0,-6) and (0,10) form a chord, indicating that the center of the circle is on line .

That line is horizontal, and represents general point (x,8). Making a sketch of this set of points, including (2,4) plotted, will help you to see this.

The distance from (x,8) to (2,4) is 10.
USE the Distance Formula and see what you can find for x.
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