a. Answer 452.16 in 2 Explanation Given Information: Diameter = 24 in. Formula Used: Area of circle = π × r 2 , π = 22 7 , r a d i u s = d i a m e t e r 2 . Calculation: Diameter = d, Radius = r. Now, diameter is of 24 in. So, r a d i u s = d i a m e t e r 2 Put the value of diameter to find the radius. r a d i u s = 24 2 in. Hence, r a d i u s = 12 in. Area of circle = π × r 2 Area of screen = π × 12 2 in 2 Now, π = 22 7 Put the value of π to find the area Area of screen = 22 7 × 12 × 12 in 2 Area of screen = 452.16 in 2 b. To determine To find the Area. Answer 7850 in 2 Explanation Given Information: 6 inches = 25 nautical miles Formula Used: Area of circle = π × r 2 , π = 22 7 , r a d i u s = d i a m e t e r 2 . Calculation: The scale is such that 6 inches on screen = 25 nautical miles so that 24 inches would mean 24 × 25 6 = 100 nautical miles. Diameter = d, Radius = r. Now, diameter is of 24 in. So, r a d i u s = d i a m e t e r 2 Put the value of diameter to find the radius. r a d i u s = 100 2 in. Hence, r a d i u s = 50 in. Area of circle = π × r 2 Area of radar = π × 50 2 in 2 Now, π = 22 7 Put the value of π to find the area Area of radar = 22 7 × 50 × 50 in 2 Area of radar = 7850 in 2

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 33E

To determine

To find the Area.

Expert Solution

Answer to Problem 33E

452.16 in²

Explanation of Solution

Given Information: Diameter = 24 in.

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

Calculation:

Diameter = d, Radius = r.

Now, diameter is of 24 in.

So, radius=diameter2

Put the value of diameter to find the radius.

radius=242 in.

Hence,

radius=12 in.

Area of circle = π×r2

Area of screen = π×122 in²

Now, π=227

Put the value of π to find the area

Area of screen = 227×12×12 in²

Area of screen = 452.16 in²

To determine

To find the Area.

Expert Solution

Answer to Problem 33E

7850 in²

Explanation of Solution

Given Information: 6 inches = 25 nautical miles

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

Calculation:

The scale is such that 6 inches on screen = 25 nautical miles so that 24 inches would mean 24×256=100 nautical miles.

Diameter = d, Radius = r.

Now, diameter is of 24 in.

So, radius=diameter2

Put the value of diameter to find the radius.

radius=1002 in.

Hence,

radius=50 in.

Area of circle = π×r2

Area of radar = π×502 in²

Now, π=227

Put the value of π to find the area

Area of radar = 227×50×50 in²

Area of radar = 7850 in²

Chapter 10.4, Problem 32E

Chapter 10.4, Problem 34E

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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