Pre-Algebra

1st Edition

ISBN: 9780618800766

Author: Ron Larson, Lee Stiff, Laurie Boswell, Timothy Kanold

Publisher: Houghton Mifflin-High School

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Question

Chapter 10.4, Problem 32E

To determine

To calculate the Area of Large Circle.

Expert Solution

Answer to Problem 32E

81π m²

Explanation of Solution

Given Information: Diameter of large circle = 18 m, Diameter of small circle = 9 m

Formula Used:Area of circle = π×r2 , π=227 , radius=diameter2 .

Calculation:

Diameter = d, Radius = r.

Now, diameter is of 9 m

So, radius=diameter2

Put the value of diameter to find the radius.

radius=182 m

Hence,

radius=9 m

Area of circle = π×r2

Put the value of radius to find the area of large circle.

Area of large circle = π×92 m²

Area of large circle = 81π m²

To determine

To calculate the Area of Small Circle.

Expert Solution

Answer to Problem 32E

81π4 m²

Explanation of Solution

Given Information: Diameter of small circle = 9 m

Formula Used:Area of circle = π×r2 , π=227 , radius=diameter2 .

Calculation:

Diameter = d, Radius = r.

Now, diameter is of 18 m

So, radius=diameter2

Put the value of diameter to find the radius.

radius=92 m

Area of circle = π×r2

Put the value of radius to find the area of small circle.

Area of small circle = π×(92)2 m²

Area of small circle = 81π4 m²

To determine

To calculate the Ratio of Area of Small Circle to Area of Large Circle.

Expert Solution

Answer to Problem 32E

1 : 4

Explanation of Solution

Given Information: Area of Small Circle and Area of Large Circle

Formula Used:Area of Small Circle : Area of Large Circle

Calculation:

Area of Small Circle : Area of Large Circle

81π4 m² : 81π m²

So,

81π481π

Hence,

1 : 4

Chapter 10.4, Problem 31E

Chapter 10.4, Problem 33E

Chapter 10 Solutions

Pre-Algebra

Ch. 10.1 - Prob. 1C Ch. 10.1 - Prob. 2C Ch. 10.1 - Prob. 3C Ch. 10.1 - Prob. 1E Ch. 10.1 - Prob. 2E Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - Prob. 7E

Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E Ch. 10.1 - Prob. 10E Ch. 10.1 - Prob. 11E Ch. 10.1 - Prob. 12E Ch. 10.1 - Prob. 13E Ch. 10.1 - Prob. 14E Ch. 10.1 - Prob. 15E Ch. 10.1 - Prob. 16E Ch. 10.1 - Prob. 17E Ch. 10.1 - Prob. 18E Ch. 10.1 - Prob. 19E Ch. 10.1 - Prob. 20E Ch. 10.1 - Prob. 21E Ch. 10.1 - Prob. 22E Ch. 10.1 - Prob. 23E Ch. 10.1 - Prob. 24E Ch. 10.1 - Prob. 25E Ch. 10.1 - Prob. 26E Ch. 10.1 - Prob. 27E Ch. 10.1 - Prob. 28E Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Prob. 31E Ch. 10.1 - Prob. 32E Ch. 10.2 - Prob. 1C Ch. 10.2 - Prob. 2C Ch. 10.2 - Prob. 3C Ch. 10.2 - Prob. 1E Ch. 10.2 - Prob. 2E Ch. 10.2 - Prob. 3E Ch. 10.2 - Prob. 4E Ch. 10.2 - Prob. 5E Ch. 10.2 - Prob. 6E Ch. 10.2 - Prob. 7E Ch. 10.2 - Prob. 8E Ch. 10.2 - Prob. 9E Ch. 10.2 - Prob. 10E Ch. 10.2 - Prob. 11E Ch. 10.2 - Prob. 12E Ch. 10.2 - Prob. 13E Ch. 10.2 - Prob. 14E Ch. 10.2 - Prob. 15E Ch. 10.2 - Prob. 16E Ch. 10.2 - Prob. 17E Ch. 10.2 - Prob. 18E Ch. 10.2 - Prob. 19E Ch. 10.2 - Prob. 20E Ch. 10.2 - 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To calculate the Area of Large Circle .

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To calculate the Area of Large Circle.

Answer to Problem 32E

Explanation of Solution

To calculate the Area of Small Circle.

Answer to Problem 32E

Explanation of Solution

To calculate the Ratio of Area of Small Circle to Area of Large Circle.

Answer to Problem 32E

Explanation of Solution

Chapter 10 Solutions

Additional Math Textbook Solutions