What is the area of the circle if the diagonal has endpoints ( 0, 3) and ( -2, 5)

We know that the area of the circle is presented by
:

A = r^2 * pi where r is the
radius.

Then we will need to calculate the length of the
radius.

First we will determine center which is the
midpoint.

==> Mx = ( 0-2)/2 =
-1

==> My = ( 3 +5)/2 =
4

Then the center is the point (
-1,4)

Now we will calculate the radius length which is the
length between the center ( -1, 4) and the endpoint (0,
3)

==> r = sqrt( -1-0)^2 + (
4-3)^2

          = sqrt(1 + 1) =
sqrt2

==> r = sqrt2

Now
we will calculate the area.

==> A = r^2 * pi =
sqrt2)^2 * pi = 2*pi = 2pi

==> The
area of the circle is A = 2pi = 6.28 square
units.