Question

Find the center of a circle whose end points of a diameter are A (-5,6) and B (3,4)

pls answer fast

Answer 1

(-1, 5)

Explanation:

The center of a circle is the midpoint of the diameter.

So we have to calculate the midpoint of the diameter, using this formula:

midpoint = (
`(x_(2 )+x_(1) )/(2)` ,
`(y_(2) + y_(1) )/(2)` )

= (
`(3 + (-5))/(2)` ,
`(4 + 6)/(2)` )

= (-1, 5)

∴ The center of the circle lies at the point (-1, 5).