Question

Can a circle circumscribe a square? Explain.

Answer 1

@Angle

Answer 2

so a "circle circumscribed square" should look like this right?

Answer 3

so I think the question of "can" is funny because, obviously I can draw it ^

so perhaps the question is "can you construct it mathematically"?

Answer 4

yes

Answer 5

so the idea we should use here is that the diagonal of the square = the diameter of the circle
like this

Answer 6

so, for example,
if we had to start with only a square and try to draw a circle around it
we can use this Diagonal idea to find the center of the circle

because halfway point / midpoint of the Diagonal of the square is the same as the center of the circle

do you get what I'm saying?

Answer 7

ok angel thank you but i could use this as my explanaton ?

Answer 8

I feel like you could give a more specific "explanation", such as describing the construction step by step in full sentences.

I think it can start something like:
A circle can indeed circumscribe a square. Suppose we start with a square and want to circumscribe it in a circle. First, we would draw the two diagonals of the square. Then, because the diagonals of parallelograms bisect each other, the intersection of the two diagonals of the square would be our center of the circle. From the center of the circle to the corner of the square would be the length of the radius of the circle. Using this information, we can construct a circle that circumscribes the square.

Answer 9

of course, personally I think drawing and labeling pictures step by step is a "clearer" explanation; words are hard .-.

Answer 10

Thank You so much Angle i appreciate it

Answer 11

no problem :)
I'm glad I could help ^_^
I'm actually taking geometry right now haha

Answer 12

oh ok lol but could you help me with a few questions and that's it ?

Answer 13

sure sure, could you post your different questions as a separate question post?
that way, other people won't get confused with multiple questions in one question thread :3

Answer 14

ok i will