Question

Rachel is drawing a square. She draws a circle with a compass setting of r units. Which of the following is the next thing Rachel should do?
A. Draw a diameter of the circle.

B. Draw a perpendicular bisector of the circle.

C. Draw arcs on the circle with the compass set at r units.

D. Draw arcs on the circle with the compass set at r units.

Answer 1

Answer:

• A. Draw a diameter of the circle.

Explanation:

To draw a square you can draw a circle with a compass and then construct the inscribed square.

You can construct an inscribed square with a compass and a straightedge.

The first step is to draw the circle.

The next step is to draw a diameter (any line that passes through the center of the circle, which you marked when drew the circle). Hence, this is the correct answer to the queston, and it is described by the choice A.

After that, you will be able to draw the perpendicular bisector of the diameter. The two diameters drawn will mark four equidistant points on the circle which will be the four vertices of your square.

Finally, you just must join the adjacent vertices with the straightedge.