SOLUTION: The endpoints of a diameter of a circle are (-2,1) and (6, -5). Write the standard equationof the circle?

Question 40114This question is from textbook geometry, measuring, reasoning, applying
: The endpoints of a diameter of a circle are (-2,1) and (6, -5).
Write the standard equationof the circle? This question is from textbook geometry, measuring, reasoning, applying

Found 2 solutions by longjonsilver, Nate:
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
1. find the origin of the circle by finding the midpoint between the 2 quoted points.

2. Calculate the length of the diameter using the standard formula for length of a line. Find the radius from this length by dividing by 2.

3. Find the standard equation of a circle and put in the values of the coordinates of the centre and the length of the radius.

Done.

Jon.
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
The midpoint of the diameter is the centre.
Midpoint formula: (,)
(,)
(,)
(,)
The distance from this point to a another point on the circle is the radius.
Distance formula:

Standard form for circle:

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