View a FREE sample

This quiz consists of 5 multiple choice and 5 short answer questions through Chapter 8, The Measurement of a Circle.

Multiple Choice Questions

1. What is always the same as the area of a circle if one side was the same as the radius of the circle?
(a) The area of a right triangle.
(b) The area of an obtuse triangle.
(c) The area of an acute triangle.
(d) The area of an isosceles triangle.

2. What Greek poet would Archimedes have studied?
(a) Hesiod.
(b) Aeschylus.
(c) Antimachus.
(d) Homer.

3. What would be the area of a circle that had a radius of 3 inches?
(a) 5.9986.
(b) 45.33813.
(c) 12.3454.
(d) 28.27431 inches.

4. Whom did Archimedes enjoy arguing with regarding whether pure reason was better than practical knowledge?
(a) King Hiero.
(b) Erastosthenes.
(c) Conon.
(d) Apollonius.

5. During Archimedes' time, where did explorers say that savages called "gorillas" lived?
(a) East of the Mediterranean Sea.
(b) In the Far East.
(c) South of Egypt.
(d) West of the Mediterranean Sea.

Short Answer Questions

1. How much would a skilled craftsman earn in Archimedes' day?

2. Where would Archimedes sketch his diagrams when he was sitting by the fire in the evening?

3. Which branch of mathematics deals with motion and change?

4. What is the formula for the area of a circle?

5. With Archimedes' polygons, how much more was the circumference than the diameter?

(see the answer key)

This section contains 253 words (approx. 1 page at 300 words per page) View a FREE sample