Question

Find the center (h, k) and radius r of the circle with the given equation

1. (x - 6)2 + (y - 5)2 = 81
2. x2 + y2 + 12x + 14y + 85 = 9
3. (x - 4)2 + y2 = 16

Answer 1

(x-9)^2 + (y-7)^2 =36

find center (h,k)
and find radius r of this circle

Answer 2

1.C(6,5) r=9
3.C(4,0) r=4

Answer 3

the general form of the equation of a circle id

(x-h)^2 + ( y-k)^2 = r^2

where (h,k) is the center and r is the radius

Answer 4

thanks for the explanation@hoblos...

Answer 5

how do you solve it to achieve those answers

Answer 6

you dont solve it
compare the question with hoblos's equation and get ur answer!!!

Answer 7

\[\huge (x-\underbrace{k}_{center})^2+(y-\underbrace{h}_{center})^2=\underbrace{r^2}_{radius}\]

Answer 8

whoa, good one @Kreshnik

Answer 9

@Sarkar thanks :)

Answer 10

how do you write those @Kreshnik ???

Answer 11

\huge (x- \underbrace{k}_{center} )^2+(y- \underbrace{h}_{center} )^2=\underbrace{r^2}_{radius}

you just need to copy this and pasto into "Equation"
button. :)
and this will appear:

\[\huge (x- \underbrace{k}_{center} )^2+(y- \underbrace{h}_{center} )^2=\underbrace{r^2}_{radius}\]

Answer 12

okay thanks@kreshnik

Answer 13

\[\huge (x- \overbrace{k}^{center} )^2+(y- \underbrace{h}_{center} )^2=\underbrace{r^2}_{radius}\]
lololo.... hahaha...

Answer 14

@Sarkar You're welcome :)