Question

A diameter of a circle has endpoints at (4, 6) and the origin. Which point is also on the circle? please show me the steps.

Answer 1

that means that the diameter is the line from (0,0) to (4,6)

Answer 2

yes

Answer 3

and the radius is exactly half of that

Answer 4

well actually you dont need the radius

Answer 5

well actually you do haha

Answer 6

take the magnitude of the diameter 4^2 + 6^2

Answer 7

and square root that to find the distance

Answer 8

so the diameter is 7.21

Answer 9

wait, sorry. go back to the radius at (2,3) and you can go any 2 in any x direction and any 3 in any y direction

Answer 10

or you can just say another point is at (0,6)

Answer 11

because if you draw a rectangle in the circle you will have two points with x at 0 and two points ar x=4. those same points, you will have 2 points with y=6 and 2 points with y=0

Answer 12

sorry about the confusion

Answer 13

center is (2,3)

equation is (x-2)^2 + (y-3)^2 = r^2

Answer 14

is it the circle equation

Answer 15

yes, ma'am. You need to use the pythagorean's theorem to find r

Answer 16

okay

Answer 17

thanks