Question

A circle is inscribed in a square whose vertices have coordinates R(0, 4), S(6, 2), T(4, -4), and U(-2, -2). Find the equation of the circle.

A. (x - 2)² + y² = 68
B. (x + 2)² + y² = 20
C. (x - 2)² + y² = 10

Answer 1

The diameter of the circle would be the distance between two consecutive vertices and the radius is, of course, half of the diameter.

Answer 2

Did you find the diameter?

Answer 3

how do i find the diameter?

Answer 4

Do you remember when I posted this 4 minutes ago:
The diameter of the circle would be the distance between two consecutive vertices

Answer 5

Do you know the distance formula?

Answer 6

is it (x1+x2)/2?

Answer 7

\[d=\sqrt{(x _{2}-x _{1})^2+(y _{2}-y _{1})^2}\]

Answer 8

so would the radius be \[\sqrt{40}/2\]?

Answer 9

yes. What is the radius squared?

Answer 10

10?

Answer 11

And, in which equation is r^2=10?

Answer 12

C?

Answer 13

So pick C

Answer 14

thank you very much

Answer 15

yw