What is the standard form of the equation of a circle with centre is at point (5,8) and which passes through the point (2,5)?
standard form of a circle is
where (a , b ) is the centre of the circle and r = radius.
in this question the centre is known but r is not. To find r , however ,
the distance from the centre to the point ( 2 , 5 ) is the radius . Using
the distance formula will allow us to find in fact
now using (2 , 5 ) =
equation of circle :
We can evaluate it using:
Now you can use the general form of the equation of a circle with centre at