# Find the equation of the circle with diameter AB where A and B are the points (-1,2) and (3,3) respectively?

##### 2 Answers

The answer could be find out by knowing some formulas of coordinate geometry.

1) standard eqn.=

2) midpoint=

3) distance=

#### Explanation:

we are given , A(-1,2) & B(3,3)

here

Therefore, AB=

=

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 =

then,we get

=

= (1 , 2.5)

Hence we get the values of a and b respectively.

Putting the values we get,

=

=

= **4.25**

= **4.25**........................(answer)

#### Explanation:

Firstly, we can find the centre of the circle by finding the midpoint of

Then we can find the radius ,

Substitute the coordinate

To find

Then we know that the equation of circle is known as;

Substitute only