Pi & Konigsberg Bridge Problem

What is pi?

• Ratio of the area of a circle to its diameter

• Ratio of the circumference of a circle to its radius

• Ratio of the circumference of a circle to its diameter

• Ratio of the area of a circle to its radius

First record to solve the area of the circle by taking 3 times the square of its radius which gave the value of pi=3?

• Ancient Greeks

• Ancient Babylonians

• Persians

• Romans

Who did the first calculation of pi?

• Archimedes of Syracuse

• Zu Chongzhi

• Rhind Papyrus

Who introduced the greek letter 𝜋

• James

• Leonhard Euler

• William Jones

• George Buffon

What is true about the ratio of a circle's circumference to its diameter?

• The circle ratio will change depending on size

• The circle ratio will always be around pi

• the circle ratio will always be pi

How did the Konigsberg Bridge Problem begin?

• Is it possible to walk through the town using less than all seven bridges?

• Is it possible for a person to walk through the town on a route that avoids retracing steps?

• Is it possible to walk through the town using no bridges?

• Is it possible to walk through the town by using the same bridges more than once?

What new type of geometry was involved in this question?

• The Geometry of Position

• Node and Edge Geometry

• Euler Geometry

• Graph Theory

Was it possible to create a route that went through the whole town without retracing steps/using the same bridge more than once?

• Yes!

• No!

How would it have been possible to walk through the whole town without retracing steps/using the same bridge more than once?

• Having an odd number of bridges touching the land

• Even # of bridges counting the start/end of the route

• Even # of bridges not counting the start/end of the route

What subject arose after this question?

• Topology

• Geometry

• Geometrical Graphing