Question

Circle P has a diameter with end points at (-4,3) and (1,6). Find the center of the circle.

A. (-1.5, 4.5)
B. (1,2)
C. (0,0)
D, (-2.5, -1.5)

Answer 1

Step-by-step explanation:i

Think

You

Right

Answer 2

The center is the midpoint of the diameter.

The coordinates of the midpoint:

`((x_1+x_2)/(2), (y_1+y_2)/(2))`
(x₁,y₁) - the coordinates of one endpoint
(x₂,y₂) - the coordinates of the other endpoint


`(-4,3) \\ x_1=-4 \\ y_1=3 \\ \\ (1,6) \\ x_2=1 \\ y_2=6 \\ \\ (x_1+x_2)/(2)=(-4+1)/(2)=(-3)/(2)=-1.5 \\ (y_1+y_2)/(2)=(3+6)/(2)=(9)/(2)=4.5`

The coordinates of the center are (-1.5,4.5) - the answer is A.