Question

Select interior, exterior, or on the circle (x - 5) 2 + (y + 3) 2 = 25 for the following point.

(3, 2)

interior
exterior
on the circle

Answer 1

Put the point (3,2) into the expression:
(x - 5)^2 + (y + 3)^2 - 25
If the value is > 0 the point is outside the circle
If the value = 0 the point lies on the circle
If the value is < 0 the point lies inside the circle.

Answer 2

An alternative way:

From the equation, the center of the circle is at (5, -3) and the radius is 5.

If the distance from (5, -3) to (3, 2) is greater than 5 the point lies outside the circle; equal to 5, on the circle; less than 5 inside the circle.

Answer 3

Ok so i think its on the circle right?

Answer 4

No.

Answer 5

okay i think outside the circle

Answer 6

yes.

Answer 7

awesome thanks ! ill give you a medal

Answer 8

you are welcome.