Which is a minor arc? Cual es menor? OACD OBC O CBD D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
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### 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.
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.
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