SOLUTION: Points A92,5) and B910,5) are the endpoints of a diameter of a circle graphed in the coordinate plane. How many suare units are in the area of the circle? express you answer as a m

Question 220208: Points A92,5) and B910,5) are the endpoints of a diameter of a circle graphed in the coordinate plane. How many suare units are in the area of the circle? express you answer as a multiple of "pie"
Found 2 solutions by Earlsdon, solver91311:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
From the descripton provided, the end-points of the diameter lie on a line that is parallel to the x-axis. The y-coordinates of the two end-points (92, 5) and (910, 5) are the same.
The length of the diameter (d) is or , so the area can be found from:
or Substitute

The area is
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

I'm not even going to try to guess whether you meant A(2,5) and B(10,5) or A(92,5) and B(910,5). If you are too lazy to make sure that your problem is typed accurately, then I am too lazy to do the work you expect me to do.

Use the distance formula to calculate the measure of the diameter using the coordinates of whatever the endpoints really are:

Where and are the coordinates of the given points.

Once you have the measure of the diameter, divide by 2 to get the measure of the radius, then use:

to calculate the area.

By the way, "pie" is a dessert item, generally circular and generally having a flaky pastry crust, and frequently having some sort of fruit filling. "pi" is the lower case Greek alphabet character generally used to denote the ratio between the circumference and diameter of a circle. You should leave your answer to this question expressed in terms of "pi" rather than "pie" -- unless the circle mentioned in the question actually represents your dessert and you specify the flavor of the filling.

John

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