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This quiz consists of 5 multiple choice and 5 short answer questions through Heron's Formula for Triangular Area.

## Multiple Choice Questions

**1. As described by Dunham, what did Archimedes demonstrate first in his proof on pi?**
**(a)** Area of a circle is equal to that of a right triangle that has one leg equal to the circle's radius and the other leg equal to the circle's circumference. **(b)** Area of a circle is equal to that of a right triangle that has one leg equal to the circle's radius and the other leg equal to the circle's diameter. **(c)** Area of a circle is equal to that of a right triangle that has one leg equal to the circle's hypotenuse and the other leg equal to the circle's circumference. **(d)** Area of a circle is equal to that of a right triangle that has one leg equal to the circle's diameter and the other leg equal to the circle's circumference.

**2. What was true about Hippocrates's proof?**
**(a)** The proof was exceedingly difficult and not understood at the time. **(b)** It was fairly easy and simple. **(c)** It was useful for circles. **(d)** The proof was easy if their was advanced technology available.

**3. What did most of Heron's work deal with?**
**(a)** Theoretical mathematics. **(b)** Philosophical questions on the origins of the universe. **(c)** Practical solutions to public problems. **(d)** Practical mathematics applications.

**4. Which of the following was an important proposition given by Euclid's number theory?**
**(a)** Any even number is divisible by 3. **(b)** Any perfect number is divisible by some composite number. **(c)** Any composite number is divisible by some prime number. **(d)** Numbers from one to ten are only divisible by composite numbers.

**5. When was the work of these early thinkers rediscovered again in history?**
**(a)** In the 20th century. **(b)** In the 18th century. **(c)** In the Renaissance. **(d)** In the Elizabethian age.

## Short Answer Questions

**1.** Which of the following is true about pi, as described by Dunham.

**2.** Which is a geometric concept that humans have been aware of since the dawn of agriculture?

**3.** What instruments did the Greeks use to square a shape?

**4.** How did Archimedes arrive at a number value for pi?

**5.** What was the same about Apollonius and Erosthanes?

This section contains 480 words(approx. 2 pages at 300 words per page) |