Question

the endpoints of circle q's diameter are (2,3) and (-1,8). Find the standard form of the equation of Circle Q

Answer 1

HELP PLEASE

Answer 2

OK , so now you can find the length of the diameter and then find the distance of the radius , do u know the distance formula?

Answer 3

yes i do

Answer 4

use it and tell me ur answer for the diameter

Answer 5

the square root of 34.. which equals to about 5.8

Answer 6

leave it as root34 for now , so radius is \[\sqrt{34}/2\]

Answer 7

now use the formula \[r ^{2} = \left( x - a \right)^{2} + \left( y - b \right)^{2}\]

Answer 8

r = root34 / 2

a = 2
b = 3

Answer 9

how did you get 2 and 3?

Answer 10

oh ,umm ya hold up , first you need to find the midpoint of the line ( the center)

formula :

(x , y) = (x1 + x2)/2 , (y1 + y2)/2


yse the points u have for x1,x2,y1,y2

Answer 11

*use

Answer 12

so the midpt would be (1/2,11/2)?

Answer 13

exactly , now use those for a & b values in the other equation

Answer 14

Thank you so much!!!