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

Question

anonymous · Answer

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.

anonymous · Answer

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

anonymous · Answer

Yup.

anonymous · Answer

so the radius is $$2\sqrt{5}$$ right

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

You got it :)

anonymous · Answer

thanks

anonymous · Answer

np :)