Question

[PLATO] A circle is centered at the point (5, -4) and passes through the point (-3, 2).

The equation of this circle is (x + (1.) _______)² + (y+ (2.)_______ )² = (3.)_______

Answer 1

1. -5

2. 4

3. 10

Explanation:

this equation is in vertex form. Points 1 and 2 are the coordinates of the center of the circle (5 is the x coordinate, -4 is the y coordinate). To find the center of the circle, take the values of the given (5, -4) coordinate, and switch their sign (5 becomes -5, -4 becomes 4).

to find part 3, you will need to plug in the values of the second coordinate (-3, 2).

If you need to find the radius of (3), find the square root of whatever answer you got.

1. (x-5)^2 + (y+4)^2 = ___

2. (-3-5)^2 + (2+4)^2 = ____

3. (-8)^2 + (6)^2 =___

4. 64+36 = 100

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(to find radius)

5.
`√(100) = 10\\`

the answer to 3 is 10