Question

1
In a circle, the coordinates of the endpoints of
a diameter are (4,5) and (10,1). What are the
coordinates of the center of the circle?

Answer 1

Answer: (7,3)

Step-by-step explanation:

Find the midpoint of the diameter to find the center

mid-point formula

$(\frac{(x_{1} +x_{2)} }{2} ,\frac{(y_{1} +y_{2} )}{2} )$

Using points (4,5) and (10,1)

$(\frac{4+10}{2} , (\frac{5+1}{2} )\\(\frac{14}{2},\frac{6}{2}) \\\\(7,3)$