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1. How would you classify the shaded region of the circle? An inscribed angle A sector A major arc O A segment

1. How would you classify the shaded region of the circle? An inscribed angle A sector A major arc O A segment

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 10E
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**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.
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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