Question

Determine the radius of the circle. Use the point (-11, 6) on the circle to find the radius.
and the center is -5, 2
@jdoe0001

Answer 1

hehehe

Answer 2

what? @jdoe0001

Answer 3

notice, the radius is the "distance" between the center and the point "on" the circle
thus use the distance formula then

\(\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({\color{red}{ -11}}\quad ,&{\color{blue}{ 6}})\quad
% (c,d)
&({\color{red}{ -5}}\quad ,&{\color{blue}{ 2}})
\end{array}\qquad
% distance value
d = \sqrt{({\color{red}{ x_2}}-{\color{red}{ x_1}})^2 + ({\color{blue}{ y_2}}-{\color{blue}{ y_1}})^2}\)

Answer 4

what is d

Answer 5

yeah... what is it, use the distance formula, "d" is just the "distance" or radius in this case

Answer 6

-5 +11= 6 2-6 = -4

Answer 7

@jdoe0001

Answer 8

yeap

Answer 9

so 36+16 = 52

Answer 10

@jdoe0001

Answer 11

yeap

Answer 12

approximately 7.21

Answer 13

@jdoe0001

Answer 14

well...if you wan to round it up, yes

Answer 15

ok thanks

Answer 16

yw

Answer 17

lastly how would you write the standard equation for this

Answer 18

@jdoe0001

Answer 19

@Nnesha

Answer 20

@jdoe0001

Answer 21

\(\bf (x-{\color{brown}{ h}})^2+(y-{\color{blue}{ k}})^2={\color{purple}{ r}}^2

\qquad center\ ({\color{brown}{ h}},{\color{blue}{ k}})\qquad
radius={\color{purple}{ r}}\)

plug in the given values
~jdoe0001