The endpoints of a diameter of a circle are A(3,2) and B(6,6). Find the area of the circle in terms of π. A=
(Type an integer or decimal. Type an exact answer in terms of π.)

area of circle in terms of π is

Step-by-step explanation:

The endpoints of a diameter of a circle are A(3,2) and B(6,6). Find the area of the circle in terms of π.

The formula used to find area of circle is:

We need to find radius of circle. For finding radius we will first find diameter of circle using distance formula.

Finding distance between points A(3,2) and B(6,6) using distance formula.

We have

Putting values and finding distance

So, distance is 5, we can say that diameter of circle = 5

The formula used to find area of circle is:

We need radius, so we know that r = d/2 so, radius = 5/2 = 2.5

Now finding area in terms of π

So, area of circle in terms of π is