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This quiz consists of 5 multiple choice and 5 short answer questions through Archimedes' Determination of Circular Area.

## Multiple Choice Questions

**1. Besides being a mathematician, what else other work was Archimedes famous for?**
**(a)** Artist and musician. **(b)** Doctor and writer, **(c)** Politician. **(d)** Inventor and scientist.

**2. What did Ferdinand Lindeman prove in 1882?**
**(a)** It is impossible to find the square of a semicircle. **(b)** That the square root of the hypotenuse of a right triangle can not be found. **(c)** It is possible to find the square of a circle. **(d)** That the square of a circle can not be found with a compass and a straight-edge.

**3. How many sides did the pentadecagon have, as presented by Euclid?**
**(a)** Five. **(b)** Twenty. **(c)** Fifteen. **(d)** Ten.

**4. Which of the following becomes an important definition in mathematics that was first presented in Elements?**
**(a)** Parallel line. **(b)** Intersection. **(c)** 180 degree angle. **(d)** Circle.

**5. Which of the following is an example of a perfect number?**
**(a)** 20. **(b)** 6. **(c)** 10. **(d)** 1.

## Short Answer Questions

**1.** What was Hippocrates's great advance to mathematics?

**2.** Which of the following is INCORRECT, and not used in Archimedes proof of his theory?

**3.** "Straight lines in the same plane that will never meet if extended forever" is a definition of what?

**4.** What did the Pythagorean Theorem accomplish for mathematics?

**5.** After Hippocrates, what shape did the Greeks attempt to square without success?

This section contains 351 words(approx. 2 pages at 300 words per page) |