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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 the ratio of the area of a circle to the circle's diameter squared?
(a) 11 to 14.
(b) 3 to 8.
(c) 10 to 12.
(d) 5 to 9.

2. What is the study of shapes in space?
(a) Applied Mathematics.
(b) Geometry.
(c) Arithmetic.
(d) Algebra.

3. What great Greek teacher who lived more than one hundred years before Archimedes believed it was important to learn geometry?
(a) Socrates.
(b) Plato.
(c) Sappho.
(d) Aristotle.

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

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

Short Answer Questions

1. What metal did the King suspect had been substituted in the crown?

2. How long were the rolls that were used for Greek books?

3. How many years later after Archimedes' work did another scientist add to the laws of nature that govern liquids at rest?

4. What was King Hiero's crown supposed to be made from?

5. What did Archimedes use to weigh the crown?

(see the answer key)

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