diameter of a circle

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• May 14th 2010, 08:45 PM
henry
diameter of a circle
I have been stuck on this question for about an hour now, can you please help

Q. the point (4,-3) is on one end of the diameter of a circle centre (6,5). Find the coordinates on the point on the opposite end of that diameter.
• May 14th 2010, 08:53 PM
sa-ri-ga-ma
Quote:

Originally Posted by henry
I have been stuck on this question for about an hour now, can you please help

Q. the point (4,-3) is on one end of the diameter of a circle centre (6,5). Find the coordinates on the point on the opposite end of that diameter.

Center is the mid point of the opposite points of a diameter. If (x, y) are the co-ordinates of the other end of the diameter, then
find the mid point of the diameter and equate it to the co-ordinates of the center.
• May 14th 2010, 08:54 PM
11rdc11
Quote:

Originally Posted by henry
I have been stuck on this question for about an hour now, can you please help

Q. the point (4,-3) is on one end of the diameter of a circle centre (6,5). Find the coordinates on the point on the opposite end of that diameter.

$\displaystyle \frac{5-(-3)}{6-2}=\frac{8}{2}$

Now add

$\displaystyle 6+2= 8$

and

$\displaystyle 5 + 8 = 13$

so your other point for the diameter is (8,13)