# im.g.1.7.3.Trying to Circle a Square

Topic:
Circle, Square

## Instructions

1. Here is square ABCD with diagonal BD drawn: ﻿a. Construct a circle centered at A with radius AD. ﻿b. Construct a circle centered at C with radius CD. ﻿c. Draw the diagonal AC.

﻿ Write a conjecture about the relationship between the diagonals BD and AC.

﻿d. Label the intersection of the diagonals as point E. (To do this, select the point and use the Style Bar to rename it.) Then construct a circle with center at E and radius EB.

How are the diagonals related to the circle?

## Are You Ready for More?

Use the tools in the applet to construct a square that fits perfectly outside the circle so that the circle is inscribed in the square.

How do the areas of these two squares compare?

## Attribution

illustrative mathematics. geometry. unit 1. section 7. activity 3. "Trying to Circle a Square" https://im.kendallhunt.com/HS/teachers/2/1/7/index.html Licensed under the Creative Commons Attribution 4.0 license https://creativecommons.org/licenses/by/4.0/