Explanation Given: The given radius of circle is 1 cubit . The given value of π is 256 81 . Formula used: Formula to find the area of circle, Area of circle = π × ( radius ) 2 Calculation: Consider the formula to calculate the area of circle, Area of circle = π × ( radius ) 2 … ( 1 ) Substitute 256 81 for π and 1 cubit in equation ( 1 ) To determine b) To find: The area of circle by using the scientific calculator for value of π . To determine c) To find: The relative error of the Egyptian calculation relative to the calculator value.

MATHEMATICS A PRACTICAL ODYSSEY W/ACCESS

8th Edition

ISBN: 9780357537343

Author: Johnson

Publisher: CENGAGE L

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Chapter 8.CR, Problem 18CR

To determine

a)

To find:

The area of circle by using Egyptian approximation of pi.

To determine

b)

To find:

The area of circle by using the scientific calculator for value of π.

To determine

c)

To find:

The relative error of the Egyptian calculation relative to the calculator value.

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Chapter 8.CR, Problem 17CR

Chapter 8.CR, Problem 19CR

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Chapter 8 Solutions

MATHEMATICS A PRACTICAL ODYSSEY W/ACCESS

Ch. 8.1 - When necessary, round off answers to one decimal...Ch. 8.1 - When necessary, round off answers to one decimal...Ch. 8.1 - When necessary, round off answers to one decimal...Ch. 8.1 - Prob. 4E Ch. 8.1 - When necessary, round off answers to one decimal...Ch. 8.1 - When necessary, round off answers to one decimal...Ch. 8.1 - When necessary, round off answers to one decimal...Ch. 8.1 - When necessary, round off answers to one decimal...Ch. 8.1 - In Exercise 9 and 10, find a the area and b the...Ch. 8.1 - Prob. 10E

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a) To find: The area of circle by using Egyptian approximation of pi.

Solution Summary: The author explains how to find the area of circle by using Egyptian approximation of pi.

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a) To find: The area of circle by using Egyptian approximation of pi.

b) To find: The area of circle by using the scientific calculator for value of π.

c) To find: The relative error of the Egyptian calculation relative to the calculator value.

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Chapter 8 Solutions

a)

To find:

The area of circle by using Egyptian approximation of pi.

b)

To find:

The area of circle by using the scientific calculator for value of π.

c)

To find:

The relative error of the Egyptian calculation relative to the calculator value.