Question

A circle has a diameter with endpoints of (2, -8) and (6, 4). What is the center of the circle?

a.)(8, -4)
b.)(4, -2)
c.)(4, 6)
d.)(-3, 5)

Answer 1

This looks like a question about circles, but forget about the circle itself for a minute and just think about the line that runs through its diameter... it's a line segment like any other line segment.

So this problem is really a simple midpoint problem... the fact it's a circle is just a distraction.

Answer 2

(2+6)/2,(-8+4)/2...so b

Answer 3

@jeffrey_r did you understand how to find a midpoint? It's just the middle of the x-values and the middle of the y values.

So can add the x coordinates and divide by 2... that's your middle x coordinate.

Do the same for the y coordinates to find the middle y coordinate.

That's the process @pkjha3105 is showing...

Answer 4

appreciate yalls help