### Comparing Central Angle vs Inscribed Angle**Question:** Compare Central Angle vs Inscribed Angle?**Answer Choices:**1. Central angle is at the center and the Inscribed is inside the circle.2. Central angle is at the center and the Inscribed creates a semicircle.3. Inscribe angle is at the circumference and Central angle is the arc.4. Inscribe angle is at the circumference and the Central angle is at the center.*Note: The correct option is the last one: "Inscribe angle is at the circumference and the Central angle is at the center."*In geometry, understanding the distinctions between a central angle and an inscribed angle within a circle is fundamental. - **Central Angle:** This is an angle whose vertex is at the center of the circle and whose sides (rays) pass through two points on the circle, creating an arc. - **Inscribed Angle:** This is an angle formed by two chords in a circle which have a common endpoint. This endpoint forms the vertex of the angle, and the other endpoints of the chords lie on the circumference of the circle.**Key Differences:**- **Location:** - A central angle's vertex is at the **center** of the circle. - An inscribed angle's vertex is on the **circumference** of the circle. - **Relationship to Arc:** - A central angle subtends (intercepts) an arc that is proportional to its angle measurement. - An inscribed angle subtends (intercepts) an arc that is twice the measure of the angle. This foundational knowledge is vital for students studying circles and their properties in geometry.

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Compare Central Angle vs Inscribed Angle? * O Central angle is at the center and the Inscribe is Inside the circle O Central angle is at the center and the Inscribe creates a semicircle O Inscribe angle is at the circumference and Central Angle is the Arc O Inscribe angle is at the circumference and the Central angle is at the cent

Compare Central Angle vs Inscribed Angle? * O Central angle is at the center and the Inscribe is Inside the circle O Central angle is at the center and the Inscribe creates a semicircle O Inscribe angle is at the circumference and Central Angle is the Arc O Inscribe angle is at the circumference and the Central angle is at the cent

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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