Write the standard form of the equation of the circle with the given characteristics. endpoints of a diameter: (0, 0), (8, 6)

First, I'll find the center, the midpoint of the two endpoints.

Midpoint = where (X1, Y1) is the first ordered pair and (X2, Y2) is the second.

(4, 3) is the center.

Now to find the radius we use this center, an endpoint, and the distance formula.

The distance formula =

Your radius is 5 units.

Now, we plug in the given info to the standard form equation of a circle:

(x - h)² + (y - k)² = radius² where (h, k) is the center

(x - 4)² + (y - 3)² = 25 is your equation.

for the points! : )

2 x t divided by n

step-by-step explanation: