The endpoints of a diameter of a circle are (2, 4) and (-4, 7). What is the standard form of the equation of this circle?
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X

(x+1)²+(y-5.5)²=45/4.

Step-by-step explanation:

1)  the common form of the required equation is: (x-a)²+(y-b)²=r², where 'a' and 'b' are the coordinates of the centre of the given circle, r - radius of the given circle.

2) the midpoint of the diameter is the centre of the given circle, its coordinates are:

3) the length of the radius of the given circle is:

4) according to the common form and calculated the centre O(-1;5.5) and the radius it is possible to make up the required equation of the circle: