A circle is centered at C(0,0). The point M(0,38) is on the circle.
Where does the point N(-5, -3) lie?
Choose 1 answer:
Inside the circle
On the circle
Outside the circle

Respuesta :

If the point M(0,38) is on the circle then its radio is:

[tex]r = \sqrt{ 0 ^2+38 ^2} = 38[/tex]

Compute the distance between the center and N:

[tex]d = \sqrt{(-5)^2 + (-3)^2} = \sqrt{25+9} = \sqrt{34} \approx 5.83[/tex]

Because d < r then point N is INSIDE THE CIRCLE.