Question

Write an equation for the circle that satisfies the given set of conditions.
endpoints of a diameter at (11, 18) and (-13, -19)

Answer 1

You need to find the distance between the two points using the distance formula
1/2 of that distance is the radius

Answer 2

you need the point mid-way between the two given points (it is the average of the x values, and the average of the y values). This midway point is the center of the circle.

Answer 3

equation of circle given (h,k) is center
(x-h)^2 + (y-k)^2 = r^2

Find the distance of the diameter using the distance formula
d = √(x2-x1)^2 + (y2-y1)^2

Since radius is half of the diameter, divide that by half

Answer 4

Draw out the diameter line and find the mid segment using the mid segment formula

Answer 5

*midpoint formula

Answer 6

m = ((x1 + x2)/2) , ((y1 + y2)/2)

Answer 7

and you get the (x,y) of the center

Answer 8

then you plug it into the formula

Answer 9

get it?