Question

Which of the following points lies on the circle whose center is at the origin and whose radius is 5?

Answer 1

Where is the Other Radius?

Answer 2

\[(x-h)^{2} + (y-k)^{2} = r^{2}\]

Answer 3

Huh?

Answer 4

h and k are the x and y coordinates for the center of the circle.

r is the radius

Answer 5

I just noticed that it says the circle is at the origin. So then we can use this formula:

\[x^{2} + y^{2} = r^{2}\]

Answer 6

I assume they gave you some points.

Answer 7

The above image demonstrates why that formula works

Answer 8

o

Answer 9

The answer Choices are (-3, 4)
(1, -2) And \[\sqrt{5}, \sqrt{5} \]

Answer 10

So those are the Points?

Answer 11

Yes

Answer 12

So now what?

Answer 13

\[x^2 + y^2 = r^2\]

So which points satisfy

\[x^2 + y^2 = 5^2\]

\[x^2 + y^2 = 25\]

Answer 14

So if Its 3 and 4, 3^2 + 4^2 = 5^2

Answer 15

Then

Answer 16

Mhm

Answer 17

Woops I meant -3 not 3

Answer 18

So Its, 9 + 16 = 25

Answer 19

9 + 16 = 25

Answer 20

Yeah those are the correct points.

Answer 21

So 3, 4 and the correct Points.

Answer 22

Ye.

Answer 23

Ty Shadow!

Answer 24

No problem