Question

Need help on this problem.

@jim_thompson5910

Answer 1

What's the center of this circle?

Answer 2

I'm not sure for this one.

Answer 3

what are some points on this circle?

Answer 4

-1, 2,

1,1 ,

2,1

Answer 5

(1,7) is another point

Answer 6

(1,1) and (1,7) form a diameter

what's the midpoint of this segment

Answer 7

1,4

Answer 8

that's the center of the circle

Answer 9

What's the radius?

Answer 10

I thought it was 1,4 because that's the middle - guess not :/

Answer 11

what's the distance from the center (1,4) to any point on the circle?

Answer 12

1, 4 to 1, 7 is 3

Answer 13

center: (1,4)

Radius: 3

Answer 14

use those two facts to get the equation

Answer 15

I plug in the center into the x and y's?

Answer 16

the general circle equation is

\[\Large (x-h)^2 + (y-k)^2 = r^2\]

Answer 17

Center: (1,4)

(h,k) = (1,4)

h = 1
k = 4

plug those into

\[\Large (x-h)^2 + (y-k)^2 = r^2\]

Answer 18

also, plug r = 3 into

\[\Large (x-h)^2 + (y-k)^2 = r^2\]

Answer 19

it would be C !

Answer 20

good