Question

A square is inscribed inside a circle. The square's vertices have coordinates R(0, 4), S(6, 2), T(4, -4), and U(-2, -2). Find the equation of the circle

Answer 1

FInd the midpoint of the line that goes through (0, 4) and (4, -4). THis is your center. Then find the distance from the center to any of the vertices and that is the radius.

Answer 2

ok, mid point is 2,0 right @Calcmathlete ?

Answer 3

Yup.

Answer 4

so the radius is \[2\sqrt{5}\] right

Answer 5

Yup. Are you familiar with the form of the equation of a circle?

Answer 6

yes. so the equation of a circle for this one would be (x-2)^2+y^2=20

Answer 7

You got it :)

Answer 8

thanks

Answer 9

np :)