How do you find an equation of the circle that satisfies the given conditions: endpoints of a diameter are P(−1, 2) and Q(7, 8)?
The coordinates of the centre of the circle will be the coordinates of the midpoint of the diameter.
We next find the length of the diameter using the distance formula:
This is the length of the diameter, so radius is:
The equation of a circle is given as:
Equation of a circle is of the form:
Where (a,b) represents the co ordinates of the circle's centre
And 'r', the circle's radius
Equation to find the coordinates of the centre of a line segment is
( 0.5 ( -1 + 7 ) ) , ( 0.5 ( 2 + 8 ) )
= ( 3 , 5 )
For the distance between two points ,
Diameter of circle = 10
Radius , r = 5