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Geometry worksheet in which students develop a theorem to compare chord lengths based on their distances from the center in circles.
Geometry worksheet in which students apply a theorem about chord lengths and distances from the center in circles to compare lengths of chords, and also use the Pythagorean Theorem to find lengths of chords and distances from the center of circles.

Activity 3.8​

Assignment 3.9

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​Assignment 10.3

​Chords and Distance from the Center of a Circle

 
Objectives
Develop and apply a theorem about lengths of chords and their distance from the center of a circle.
 
​Use the Pythagorean Theorem to calculate lengths of chords, radii, and distances from centers of circles.
 
 

About Geometry Worksheet Assignment 10.3:                  

 

Assignment 10.3 is the development and application of the relationships between lengths of chords and their distances from the center of a circle.

 

Prerequisite Skills:  Measure line segments (Assignment 1.11).  Name chords (Assignment 10.1).  Write and solve equations applying the Pythagorean Theorem using exact answers (Assignment 7.3).

 

Definition:  The distance of a chord from the center of a circle is the length of a line segment perpendicular to the chord with endpoints at the center and on the chord.

 

Theorem:  In a circle, the longer the chord, the closer it is to the center of the circle; the shorter the chord, the farther it is from the center of the circle.

                                                                                                                                                                                                                                                       

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