Circle in Square

Circle in Square
Level Information
Instruction:	Inscribe a circle in the square.
Goal:	3L 5E
Available Tools:
Location Information
Pack:	Alpha
Previous Level:	Midpoint
Next Level:	Rhombus in Rectangle

Solutions

3L 5E Solution

Given the square ABCD.

1. Construct line AC, a diagonal of the square
2. Construct the perpendicular bisector of AB, intersecting AB at E and AC at F
3. Construct the circle with center E and radius EF

Explanation

In a square, the center of the inscribed circle is the intersection of its diagonal and the intersection of the perpendicular bisector of its sides. Constructing one diagonal and one perpendicular bisector is enough to find the center of the circle. One perpendiculor bisector is needed to determine the radius as the inscribed circle passes through all the midpoints of the square's sides.

List of Levels

Alpha Angle of 60° • Perpendicular Bisector • Midpoint • Circle in Square • Rhombus in Rectangle • Circle Center • Inscribed Square Beta W.I.P. Gamma W.I.P. Delta W.I.P. Epsilon W.I.P. Zeta W.I.P. Eta W.I.P. Theta W.I.P. Iota W.I.P. Kappa W.I.P. Lamda W.I.P. Mu W.I.P. Nu W.I.P. Xi W.I.P. Omicron W.I.P. Tutorials Equalateral Triangle • Intersect Tool • Perpendicular Bisector • Move Tool • Angle Bisector • Perpendicular • Parallel Line • Compass