Find the equation of the circle with diameter AB where A and B are the points (-1,2) and (3,3) respectively?
The answer could be find out by knowing some formulas of coordinate geometry.
1) standard eqn.=
we are given , A(-1,2) & B(3,3)
so radius = 1/2 * diameter
now the radius can also be got by calculating the midpoint
so the next step is:
wkt,midpoint is given by =
= (1 , 2.5)
Hence we get the values of a and b respectively.
Putting the values we get,
Firstly, we can find the centre of the circle by finding the midpoint of
Then we can find the radius ,
Substitute the coordinate
Then we know that the equation of circle is known as;