Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter44: Solution Of Equations By The Subtraction, Addition, And Division Principles Of Equality
Section: Chapter Questions
Problem 38A
Related questions
Question
![**Problem Statement:**
In circle \( C \), \( m \angle DCE = 135^\circ \) and the length of \( DE = 3\pi \). Find the length of \( CD \).
**Diagram Explanation:**
The diagram shows a circle with center \( C \). There are two radius lines, \( CD \) and \( CE \), extending from the center \( C \) to the points \( D \) and \( E \) on the circumference of the circle. The chord \( DE \) is shown connecting points \( D \) and \( E \).
**Options:**
- \( CD = 4 \)
- \( CD = 3 \)
- \( CD = 12 \)
- \( CD = 8 \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb6a3e0a-0e9e-4eb9-b3f8-cac67ff0b1b6%2F3cad5359-55d3-4411-9f8a-93fcbfc05fc4%2Flcjvuu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
In circle \( C \), \( m \angle DCE = 135^\circ \) and the length of \( DE = 3\pi \). Find the length of \( CD \).
**Diagram Explanation:**
The diagram shows a circle with center \( C \). There are two radius lines, \( CD \) and \( CE \), extending from the center \( C \) to the points \( D \) and \( E \) on the circumference of the circle. The chord \( DE \) is shown connecting points \( D \) and \( E \).
**Options:**
- \( CD = 4 \)
- \( CD = 3 \)
- \( CD = 12 \)
- \( CD = 8 \)
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