A circle has a center that falls on the line #y = 5/8x +6 # and passes through # ( 5 ,2 )# and #(3 ,8 )#. What is the equation of the circle?
3 Answers
Explanation:
I don't trust the "12 minutes ago" without a comment. Where'd they go?
We call the center
Let's multiply by
Let's expand. We see the squared terms are the same on each side so I won't bother to write them. Once that's done it looks like there's a factor of 32 that can be cancelled too:
Squared radius
Equation:
Check:
Explanation:
Suppose that the reqd. eqn. of the circle
The centre
Likewise,
With
Explanation:
Here is a Third Method to find the eqn. of the circle in Question.
The eqn. of a circle having
diameter is given by,
The eqn. of the chord joining
Now, since the reqd. circle
intersection of
Clearly, the centre
Hence, the eqn. of reqd. circle is