Question

The center of a circle is at the origin. An endpoint of a diameter of the circle is at (-3, -4). How long is the diameter of the circle?

Answer 1

do you know how to find the distance between 2 points ?
(the points are the origin, (0,0) and (-3,-4) )

Answer 2

i really dont

Answer 3

\(\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ 0}}\quad ,&{\color{blue}{ 0}})\quad &({\color{red}{ -3}}\quad ,&{\color{blue}{ -4}})
\end{array}\qquad
d = \sqrt{({\color{red}{ x_2}}-{\color{red}{ x_1}})^2 + ({\color{blue}{ y_2}}-{\color{blue}{ y_1}})^2}\)

Answer 4

keep in mind that, from the origin to a point on the circle is just the "radius"
and the radius is only half as long as the diameter

Answer 5

i think it is 10?

Answer 6

what did you get for the radius?

Answer 7

well 1 but im not sure i did it right

Answer 8

please help