Question

A circle is shown on the coordinate plane below.

Circle that contains points 12, 3; 5, negative 4; negative 2, 3; 5, 10.

What is the center and radius of this circle?
Center: (3, 5); Radius: 7

Center: (3, 5); Radius: 14

Center: (5, 3); Radius: 7

Center: (5, 3); Radius: 14

Answer 1

let's see I see the circle, it has the points as indicated => (12, 3) (5, -4) (-2, 3) (5, 10)

Answer 2

what do you think is the DIAMETER of this circle?

Answer 3

14 maybe?

Answer 4

ahh, 14, so the radius is half that, radius = \(\bf \frac{diameter}{2}\)

Answer 5

so it would be 7?

Answer 6

And the answer is the third one?

Answer 7

yes
notice => http://www.mathwarehouse.com/geometry/circle/images/equation-of-circle/general-formula-equation-of-circle.png

how far is the center from the radius

Answer 8

so, if the radius is 7, where do you think is the cente?

Answer 9

(5,3)

Answer 10

:)

Answer 11

Thank youuu.(:

Answer 12

yw