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Diameter Endpoint

Posted by admin on 20 Dec 2008 at 12:00 AM
$9.00

Math and Statistics / Algebra I

The center of a circle is (-4,7) and one endpoint of a diameter is
(2,-1). What is the other endpoint of the diameter?

It's easy to find the answer when you graph it, but how would you
find the other point without using the graphing method. Is there any
formula you follow?

Thank you so much for your time.

Accepted Answer:

Answer provided by admin on 20 Dec 2008 at 12:00 AM

Hi,

Thanks for writing to .

Remember that the diameter is twice the radius. Since one endpoint is
given, and you know the center, you also know that the other endpoint
is the same distance from the center.

To get to the center from the endpoint, we subtract 6 from the
x-coordinate and add 8 to the y-coordinate.

-4 -2 = -6 and 7 - (-1) = 8

So, in order to get the other endpoint from the center, we should
subtract 6 from the x-coordinate of the center and add 8 to the
y-coordinate of the center.

If you examine your answer, you will find that -4 - 6 = -10 and
7 + 8 = 15, which is the answer you got.

Does that help? Please feel free to write back with any questions you
may have.

Thanks so much Dr. Roy, it was a real help to me.

Rating: * * * * *      Awarded: $9.00
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