Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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.
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