SOLUTION: A diameter of a circle has endpoints at (-1,3) and (-1,-3) Find the area of the circle and please also graph it.

Question 197618: A diameter of a circle has endpoints at (-1,3) and (-1,-3) Find the area of the circle and please also graph it.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
From the given coordinates of the end points of the diameter, (-1,3) and (-1,-3), you can see that the diameter is 6 units.
This was found by:
Substituting and , we get:

so the radius,
The area of a circle is found by:
Substituting and we get:

sq. units.
To graph the circle, you first need to find the equation of the circle.
Using the standard form for a circle with center at (h,k) and radius r:
Substitute r = 3.
The center of this circle is located at (-1, 0), so making the appropriate substitutions, we get:
Simplifying, we have:

Now to graph this circle, you have to solve this equation for y and then graph the two solutions on the same coordinate plane.
Solving for y:
Subtract from both sides.
Expand the right side.

Now take the square root of both sides to get:
and
Now we can graph these two solutions:

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