Question

If you are given a circle with center c, how do you locate the vertices of a square inscribed in circle c?

Answer 1

To locate the vertices of a square inscribed in a circle, follow these steps: draw the circle, choose a point on the circumference, create a radius, find the midpoint, and connect the points to form a square.

Step-by-step explanation:

To locate the vertices of a square inscribed in a circle, you can follow these steps:

1. Draw the circle with center C.
2. Choose any point on the circumference of the circle and label it A.
3. Draw a line segment from C to A, creating a radius.
4. Construct a perpendicular bisector of the radius to find the midpoint, which we'll call M.
5. Draw a line segment from M to the circumference of the circle, which intersects at two points. Label them B and D.
6. Connect points ABCD to form a square.

Now you have located the vertices of a square inscribed in circle C.

Answer 2

The square is inscribed in a circle that means the square is drawn inside a circle such that it's vertices lie on the circle.

You need to remember that the vertices of the square lie on the circumference of circle and the center of circle is also the midpoint of diagonals of the square i.e. Diagonal of the square is equal to diameter of the circle.

We could also see the image of such figure.