Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 10E
Related questions
Question
![**Classifying the Shaded Region of a Circle**
**Question:**
How would you classify the shaded region of the circle?
**Diagram:**
- The diagram features a circle with a green circumference.
- Inside the circle, there are three red points connected by blue lines to form a triangle.
- This triangle also splits the circle, creating a shaded region within one of its segments.
**Options:**
- An inscribed angle
- A sector
- A major arc
- A segment
**Explanation:**
The shaded region represents a portion of the circle separated by a chord and one of the arcs. Understanding each option:
1. **An inscribed angle** refers to an angle formed by two chords in a circle which share an endpoint.
2. **A sector** is a region bounded by two radii and the arc between them.
3. **A major arc** is the larger arc connecting two points in a circle.
4. **A segment** is the region bounded by a chord and the arc subtended by the chord.
**Educational Insight:**
In this case, the shaded region can be best classified as a segment. It is bounded by the chord (the blue line connecting two red points) and the arc (the curved section of the circumference).
**Guess the correct answer:**
Select *"A segment"* as the most accurate classification for the shaded region in this diagram.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4e38067e-40f1-4c9f-beaa-f39c1c774668%2Ffdb1e113-88cb-4de0-bb67-ed3682797ed8%2Fyfurmwh_processed.png&w=3840&q=75)
Transcribed Image Text:**Classifying the Shaded Region of a Circle**
**Question:**
How would you classify the shaded region of the circle?
**Diagram:**
- The diagram features a circle with a green circumference.
- Inside the circle, there are three red points connected by blue lines to form a triangle.
- This triangle also splits the circle, creating a shaded region within one of its segments.
**Options:**
- An inscribed angle
- A sector
- A major arc
- A segment
**Explanation:**
The shaded region represents a portion of the circle separated by a chord and one of the arcs. Understanding each option:
1. **An inscribed angle** refers to an angle formed by two chords in a circle which share an endpoint.
2. **A sector** is a region bounded by two radii and the arc between them.
3. **A major arc** is the larger arc connecting two points in a circle.
4. **A segment** is the region bounded by a chord and the arc subtended by the chord.
**Educational Insight:**
In this case, the shaded region can be best classified as a segment. It is bounded by the chord (the blue line connecting two red points) and the arc (the curved section of the circumference).
**Guess the correct answer:**
Select *"A segment"* as the most accurate classification for the shaded region in this diagram.
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.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 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, algebra 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
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