How do you write an equation for a circle given endpoints of a diameter at (-5,2) and (3,6)?
First, we have to find the centre of the circle.
This will be halfway between the two endpoints
giving us the point
now we need to find the radius,
take the middle and an end point and find the distance,
now if we use trigonometry to find the radius
now the equation of a circle is,
where a and b are the coordinates of the centre.
for the equation of our circle.