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Squaring the circle
Contributed by: Ashworth
  • 1. Who proved that it is impossible to 'square the circle' using only a compass and straightedge?
A) Pythagoras
B) Ferdinand von Lindemann
C) Euclid
D) Archimedes
  • 2. Which ancient civilization tried to construct a square equal in area to a given circle?
A) Egyptians
B) Ancient Greeks
C) Mesopotamians
D) Romans
  • 3. What is the mathematical constant frequently denoted by the Greek letter pi (Ď€)?
A) The area of a circle
B) The square root of -1
C) Ratio of a circle's circumference to its diameter
D) The base of natural logarithms
  • 4. What famous problem in ancient mathematics was proved impossible by Lindemann's work on pi?
A) Doubling the cube
B) Trisecting an angle
C) Placing a circle of equal area inside a square
D) Squaring the circle
  • 5. In which century was it definitively proven that it is impossible to 'square the circle'?
A) 19th century
B) 18th century
C) 20th century
D) 17th century
  • 6. What is the term for a geometric construction that only uses a compass and straightedge?
A) Lindemann construction
B) Euclidean construction
C) Curvilinear construction
D) Circle squaring
  • 7. Who is credited for calculating a relatively accurate value of pi around 250 BC?
A) Thales
B) Euclid
C) Pythagoras
D) Archimedes
  • 8. What theorem states that pi is a transcendental number?
A) Fermat's Last Theorem
B) Lindemann–Weierstrass theorem
C) Pythagorean theorem
D) Cauchy's Mean Value Theorem
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