Inscribing of Circles

Question 1

How do you inscribe a circle? (4)

Answer 1

1. Take the Incenter
2. Reflect it over a side of a triangle
3. Connect pre - image to image
4. Radius was created, so draw the circle

Question 2

How do you inscribe an equilateral triangle in a circle? (3)

Answer 2

1. Construct the Diameter
2. Measure size of radius and draw an arc
3. 2 intersections & top of diameter is a triangle!

Question 3

How do you inscribe a regular hexagon in a circle? (4)

Answer 3

1. Construct the Diameter
2. Measure size of a radius and draw an arc
3. Do the same thing on the opposite side
4. 4 intersections and the top & bottom of diameter is a hexagon!

Question 4

How do you inscribe a square in a circle? (3)

Answer 4

1. Construct Diameter
2. Construct Perpendicular Bisector
3. 4 intersections of Diameter & Perpendicular Bisector is a square!

Question 5

How do you inscribe a circle in a regular octagon? (4)

Answer 5

1. Construct the Diameter
2. Construct Perpendicular Bisector
3. Draw Angle Bisector of the 4 Angles
4. 8 Intersections of Diameter, Perpendicular Bisector and Angle Bisector make an Octagon!