Well the equation of a circle with radius size is where is its centre.
Now use the information given (substitute in some points) to solve for
Since the y-value of both points A and B are 0, I can gather from this question that the diameter is 6 units and so the radius is 3 units. But I can't solve any further.Find the equation of a circle whose centre falls on the line y = 6 - 2x and which passes through the points A(-2,0) and B(4,0)
Any help would be greatly appreciated, thank you!
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Hello, caramelcake!
Find the equation of the circle whose center is on
and which passes through and
Since the -value of both points and are 0,
I can gather that the diameter is 6 units. . This is not true!
Did you make a sketch?
Code:\ | \ * * * *\ | * * \ | : * * \| : * * : * |\:C * * | o * * | :\ * | : \ * | : \ * - - o - - + - - \ - o - - - - - -2 * | : \* 4 * * * \ | :
The -intercepts of the circle are: and
The center lies on the vertical line midway between the intercepts: .
The center also lies on the line
. . The center is the intersection of the two lines: .
The radius is the distance
Therefore: .
Thank you pickslides and Soroban for your input Terribly sorry for the late reply, I didn't log in in time to check the second reply before submitting my homework >.<
Either way, I have already completed it so here's my answer:
x-coordinate of centre is
radius of circle =
equation of the circle is