Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 75RE
Related questions
Topic Video
Question
100%
![### Identifying Minor Arcs in a Circle
In this exercise, we are given a circle with several points labeled A, B, C, and D on its circumference. The task is to identify a minor arc among the given options.
#### Diagram Description:
- The circle has four points on it marked as A, B, C, and D in a sequence.
- The points form arcs on the circumference of the circle.
#### Question:
**Which is a minor arc? / ¿Cuál es menor?**
#### Options:
1. ACD
2. BC
3. CBD
### Definition:
A minor arc in a circle is an arc that measures less than 180 degrees. It is the shorter path between two points on the circumference.
#### Explanation:
To determine which of the given options is a minor arc, we analyze the paths between the points:
- **Arc ACD** traverses through three points A, C, and D, which makes it potentially larger than 180 degrees.
- **Arc BC** is between two points B and C, and since no other points are in between, it is a potential candidate for a minor arc.
- **Arc CBD** passes through C and D, covering more than half of the circle, which makes it likely over 180 degrees.
#### Answer:
The minor arc in this case is **BC**.
After making your selection, don't forget to click "OK" to proceed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe0028658-410f-42ad-8ed0-aeb334262bb2%2Fb061fe24-efd5-4668-9bf8-301b487a081e%2Fspfilv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Identifying Minor Arcs in a Circle
In this exercise, we are given a circle with several points labeled A, B, C, and D on its circumference. The task is to identify a minor arc among the given options.
#### Diagram Description:
- The circle has four points on it marked as A, B, C, and D in a sequence.
- The points form arcs on the circumference of the circle.
#### Question:
**Which is a minor arc? / ¿Cuál es menor?**
#### Options:
1. ACD
2. BC
3. CBD
### Definition:
A minor arc in a circle is an arc that measures less than 180 degrees. It is the shorter path between two points on the circumference.
#### Explanation:
To determine which of the given options is a minor arc, we analyze the paths between the points:
- **Arc ACD** traverses through three points A, C, and D, which makes it potentially larger than 180 degrees.
- **Arc BC** is between two points B and C, and since no other points are in between, it is a potential candidate for a minor arc.
- **Arc CBD** passes through C and D, covering more than half of the circle, which makes it likely over 180 degrees.
#### Answer:
The minor arc in this case is **BC**.
After making your selection, don't forget to click "OK" to proceed.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Holt Mcdougal Larson Pre-algebra: Student Edition…](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Elementary Geometry For College Students, 7e](https://www.bartleby.com/isbn_cover_images/9781337614085/9781337614085_smallCoverImage.jpg)
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
![PREALGEBRA](https://www.bartleby.com/isbn_cover_images/9781938168994/9781938168994_smallCoverImage.gif)
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning