is a square that is inscribed within a circle inside the circle?

Question

is a square that is inscribed within a circle inside the circle?

Answer 1

If it is within a circle, then it is inside a circle. So, yes.

Answer 2

it depends on the size of the two figures. If the square is smaller than the circle and is totally enclosed by the circle, then yes. If the square is inscribed within the circle by drawing straight lines from certain points on the circle's circumference, then no, because the points where they intersect would be within the same points of the circle's boundary, not inside the circle itself.

Basically, not if the square's corners are on the same line as the circle that's drawn.

Answer 3

An inscribed square to a circle is usually taken to mean a square that fits inside with its four corners just touching the circle. The sides of the square then form chords of length = sqrt (2R^2), where R is the radius of the circle.

Answer 4

Lengths of the square = √144 = 12m Diagonal = √12^2 + 12^2 = √288 = 12√2 Diagonal = Diameter of the circle Diameter = 12√2 Radius = 6√2 Area = pi * (6√2)^2 = 72pi = 226.19m^2

Answer 5

though theoretically there is some overlap, the overlap is only as big as the imaginary lines used to draw the shapes. but in reality, those lines do not exist because the square is the area within it, not the boundaries. the square is within the circle.

mathematically, it would be something like this. (I'm too sleepy to explain this part)
area of circle - area of square = remainder of circle. if it were either bigger or smaller, it wouldn't add up.

Answer 6

If the square is in the circle then...why are you asking this question???

Answer 7

I think you simply do not understand what the word "within" means in your question.
"within" is defined as in or into the interior or inner part; inside.

Answer 8

well its inscribed so yes it is right? maybe a better explanation might be better

Answer 9

yep by definition