If the diameter of a circle has endpoints M(2,4) and N(9,4). Where is the center of the circle, and what is the equation for the circle?

Question

anonymous · Answer

attachment

anonymous · Answer

@ceggersjr

tkhunny · Answer

Eyeball Problem.

You are given the endpoints of a diameter.  Pick the middle of the segment.  Since the y-value doesn't change, that's (What,4)?

anonymous · Answer

i dont get what ur asking

tkhunny · Answer

I'm not asking anything.  Now I will.

Do you know what a diameter is?

anonymous · Answer

yea of course

tkhunny · Answer

Where are the endpoints of a diameter?

anonymous · Answer

at the edge of the circle

tkhunny · Answer

Right.  The endpoints are ON the circle.
Where is the midpoint of the diameter?

anonymous · Answer

The center of the circle

tkhunny · Answer

Okay, given the coordinates of the endpoints, can you find the midpoint?

anonymous · Answer

yes(i got 6,4) for the midpoint

tkhunny · Answer

I had hoped that you would get the correct (11/2,4).  Did you round to integers?  That will not do.

anonymous · Answer

yeah i got 5.5 before

tkhunny · Answer

Center of the Circle: (5.5,4)
Radius of Circle: ??