Question

Construct a square with vertex A inscribed in the given circle

Answer 1

see attached

Explanation:

You want to construct an inscribed square in circle C with vertex A.

Steps

Reference the attached figure.

1. With the compass set to a radius greater than AC, draw arc BE centered at A.
2. With the same compass setting, draw arc GH centered at F, which is the second intersection of line AC with circle C.
3. Identify the points where the arcs intersect as I and J. Draw line IJ.
4. Identify the points where line IJ intersects circle C as K and L.

The desired inscribed square is AKFL.