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In circle C, m/DCE = 135° and the length of DE = 3″. Find the length of CD. E D C CD = 4 CD = 3 CD = 12 CD = 8

In circle C, m/DCE = 135° and the length of DE = 3″. Find the length of CD. E D C CD = 4 CD = 3 CD = 12 CD = 8

Elementary Geometry For College Students, 7e
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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**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:** - \( CD = 4 \) - \( CD = 3 \) - \( CD = 12 \) - \( CD = 8 \)
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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