Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

1st Edition

ISBN: 9780078682278

Author: McGraw-Hill, Berchie Holliday

Publisher: Glencoe/McGraw-Hill

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Concept explainers

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made p…

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.

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Question

Chapter 6, Problem 18SGA

To determine

To find:The length of the intercepted arc in a circle of radius 15 cm with 70° central angle.

Expert Solution & Answer

Answer to Problem 18SGA

The length of the intercepted arc in a circle of radius 15 cm with 70° central angle to the nearest tenthis 18.3 cm .

Explanation of Solution

Given information:

The measure of the central angle is 70° and the radius of circle is equal to 15 cm .

Formula used: The formula for the length of intercepted arc of a circle is the product of radius with central angle.

s=rθ

Calculation:

Convert the central angle into radian.

70°×π180°=7π18

So, the measurement of central angle in radian is equal to 7π18 .

Substitute 15 cm for r and 7π18 for θ in the formula for the length of intercepted arc.

s=rθ=(15 cm)(7π18)=356×3.14=18.316 cm

The answer rounded to nearest tenth is equal to 18.3 cm .

Therefore, the length of the intercepted arc in a circle of radius 15 cm with 70° central angle is 18.3 cm .

Chapter 6, Problem 17SGA

Chapter 6, Problem 19SGA

Chapter 6 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 6.1 - Prob. 1CFU Ch. 6.1 - Prob. 2CFU Ch. 6.1 - Prob. 3CFU Ch. 6.1 - Prob. 4CFU Ch. 6.1 - Prob. 5CFU Ch. 6.1 - Prob. 6CFU Ch. 6.1 - Prob. 7CFU Ch. 6.1 - Prob. 8CFU Ch. 6.1 - Prob. 9CFU Ch. 6.1 - Prob. 10CFU

Ch. 6.1 - Prob. 11CFU Ch. 6.1 - Prob. 12CFU Ch. 6.1 - Prob. 13CFU Ch. 6.1 - Prob. 14CFU Ch. 6.1 - Prob. 15CFU Ch. 6.1 - Prob. 16E Ch. 6.1 - Prob. 17E Ch. 6.1 - Prob. 18E Ch. 6.1 - Prob. 19E Ch. 6.1 - Prob. 20E Ch. 6.1 - Prob. 21E Ch. 6.1 - Prob. 22E Ch. 6.1 - Prob. 23E Ch. 6.1 - Prob. 24E Ch. 6.1 - Prob. 25E Ch. 6.1 - Prob. 26E Ch. 6.1 - Prob. 27E Ch. 6.1 - Prob. 28E Ch. 6.1 - Prob. 29E Ch. 6.1 - Prob. 30E Ch. 6.1 - Prob. 31E Ch. 6.1 - Prob. 32E Ch. 6.1 - Prob. 33E Ch. 6.1 - Prob. 34E Ch. 6.1 - Prob. 35E Ch. 6.1 - Prob. 36E Ch. 6.1 - Prob. 37E Ch. 6.1 - Prob. 38E Ch. 6.1 - Prob. 39E Ch. 6.1 - Prob. 40E Ch. 6.1 - Prob. 41E Ch. 6.1 - Prob. 42E Ch. 6.1 - Prob. 43E Ch. 6.1 - Prob. 44E Ch. 6.1 - Prob. 45E Ch. 6.1 - Prob. 46E Ch. 6.1 - Prob. 47E Ch. 6.1 - Prob. 48E Ch. 6.1 - Prob. 49E Ch. 6.1 - Prob. 50E Ch. 6.1 - Prob. 51E Ch. 6.1 - Prob. 52E Ch. 6.1 - Prob. 53E Ch. 6.1 - Prob. 54E Ch. 6.1 - Prob. 55E Ch. 6.1 - Prob. 56E Ch. 6.1 - Prob. 57E Ch. 6.1 - Prob. 58E Ch. 6.1 - Prob. 59E Ch. 6.1 - 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Prob. 1CFU Ch. 6.7 - Prob. 2CFU Ch. 6.7 - Prob. 3CFU Ch. 6.7 - Prob. 4CFU Ch. 6.7 - Prob. 5CFU Ch. 6.7 - Prob. 6CFU Ch. 6.7 - Prob. 7CFU Ch. 6.7 - Prob. 8CFU Ch. 6.7 - Prob. 9CFU Ch. 6.7 - Prob. 10CFU Ch. 6.7 - Prob. 11CFU Ch. 6.7 - Prob. 12CFU Ch. 6.7 - Prob. 13E Ch. 6.7 - Prob. 14E Ch. 6.7 - Prob. 15E Ch. 6.7 - Prob. 16E Ch. 6.7 - Prob. 17E Ch. 6.7 - Prob. 18E Ch. 6.7 - Prob. 19E Ch. 6.7 - Prob. 20E Ch. 6.7 - Prob. 21E Ch. 6.7 - Prob. 22E Ch. 6.7 - Prob. 23E Ch. 6.7 - Prob. 24E Ch. 6.7 - Prob. 25E Ch. 6.7 - Prob. 26E Ch. 6.7 - Prob. 27E Ch. 6.7 - Prob. 28E Ch. 6.7 - Prob. 29E Ch. 6.7 - Prob. 30E Ch. 6.7 - Prob. 31E Ch. 6.7 - Prob. 32E Ch. 6.7 - Prob. 33E Ch. 6.7 - Prob. 34E Ch. 6.7 - Prob. 35E Ch. 6.7 - Prob. 36E Ch. 6.7 - Prob. 37E Ch. 6.7 - Prob. 38E Ch. 6.7 - Prob. 39E Ch. 6.7 - Prob. 40E Ch. 6.7 - Prob. 41E Ch. 6.7 - Prob. 42E Ch. 6.7 - Prob. 43E Ch. 6.7 - Prob. 44E Ch. 6.7 - Prob. 45E Ch. 6.7 - Prob. 46E Ch. 6.7 - Prob. 47E Ch. 6.7 - Prob. 48E Ch. 6.7 - Prob. 49E Ch. 6.7 - Prob. 50E Ch. 6.7 - Prob. 51E Ch. 6.7 - Prob. 52E Ch. 6.7 - Prob. 53E Ch. 6.7 - Prob. 54E Ch. 6.7 - Prob. 55E Ch. 6.7 - Prob. 56E Ch. 6.7 - Prob. 57E Ch. 6.7 - Prob. 58E Ch. 6.7 - Prob. 59E Ch. 6.7B - Prob. 1GCE Ch. 6.7B - Prob. 2GCE Ch. 6.7B - Prob. 3GCE Ch. 6.7B - Prob. 4GCE Ch. 6.7B - Prob. 5GCE Ch. 6.7B - Prob. 6GCE Ch. 6.7B - Prob. 7GCE Ch. 6.7B - Prob. 8GCE Ch. 6.8 - Prob. 1CFU Ch. 6.8 - Prob. 2CFU Ch. 6.8 - Prob. 3CFU Ch. 6.8 - Prob. 4CFU Ch. 6.8 - Prob. 5CFU Ch. 6.8 - Prob. 6CFU Ch. 6.8 - Prob. 7CFU Ch. 6.8 - Prob. 8CFU Ch. 6.8 - Prob. 9CFU Ch. 6.8 - Prob. 10CFU Ch. 6.8 - Prob. 11CFU Ch. 6.8 - Prob. 12CFU Ch. 6.8 - Prob. 13CFU Ch. 6.8 - Prob. 14E Ch. 6.8 - Prob. 15E Ch. 6.8 - Prob. 16E Ch. 6.8 - Prob. 17E Ch. 6.8 - Prob. 18E Ch. 6.8 - Prob. 19E Ch. 6.8 - Prob. 20E Ch. 6.8 - Prob. 21E Ch. 6.8 - Prob. 22E Ch. 6.8 - Prob. 23E Ch. 6.8 - Prob. 24E Ch. 6.8 - Prob. 25E Ch. 6.8 - Prob. 26E Ch. 6.8 - Prob. 27E Ch. 6.8 - Prob. 28E Ch. 6.8 - Prob. 29E Ch. 6.8 - Prob. 30E Ch. 6.8 - Prob. 31E Ch. 6.8 - Prob. 32E Ch. 6.8 - 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The length of the intercepted arc in a circle of radius 15 cm with 70 ° central angle.

Concept explainers

Videos

To find:The length of the intercepted arc in a circle of radius 15 cm with 70° central angle.

Answer to Problem 18SGA

Explanation of Solution

Chapter 6 Solutions

Additional Math Textbook Solutions