a. Answer 2 times Explanation Given Information: Radius = r Formula Used: Circumference of circle = 2 π × r Calculation: R a d i u s = r 1 Circumference of circle C1 = 2 π × r 1 When radius becomes double. R a d i u s = 2 r 2 Circumference of circle C2 = 2 π × 2 r 2 Circumference of circle C2 = 2 × ( 2 π × r 2 ) Hence, Circumference becomes 2 times when its radius double. b. To determine To calculatethe area Answer 4 times Explanation Given Information: Radius = r Formula Used: Area of circle = π × r 2 Calculation: R a d i u s = r 1 Area of circle A1 = π × r 1 2 When radius becomes double. R a d i u s = 2 r 2 Area of circle A2 = π × ( 2 r 2 ) 2 Area of circle A2 = π × ( 2 r 2 ) 2 Area of circle A2 = π × 4 r 2 2 Area of circle A2 = 4 × π × r 2 2 Hence, Area becomes 4 times when its radius double.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN: 9780547587776

Author: HOLT MCDOUGAL

Publisher: HOLT MCDOUGAL

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Question

Chapter 10.4, Problem 31E

To determine

To calculate the circumference.

Expert Solution

Answer to Problem 31E

2 times

Explanation of Solution

Given Information: Radius = r

Formula Used:Circumference of circle = 2π×r

Calculation:

Radius=r1

Circumference of circle C1 = 2π×r1

When radius becomes double.

Radius=2r2

Circumference of circle C2 = 2π×2r2

Circumference of circle C2 = 2×(2π×r2)

Hence,

Circumference becomes 2 times when its radius double.

To determine

To calculatethe area

Expert Solution

Answer to Problem 31E

4 times

Explanation of Solution

Given Information: Radius = r

Formula Used:Area of circle = π×r2

Calculation:

Radius=r1

Area of circle A1 = π×r12

When radius becomes double.

Radius=2r2

Area of circle A2 = π×(2r2)2

Area of circle A2 = π×4r22

Area of circle A2 = 4×π×r22

Hence,

Area becomes 4 times when its radius double.

Chapter 10.4, Problem 30E

Chapter 10.4, Problem 32E

Chapter 10 Solutions

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

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

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