Chords and Circles Worksheets
How Do Chords Help Us Better Understand a Circle? Chords in a circle hold very distinctive importance and are surprisingly effective in understanding the nature of a circle. Chords are usually imaginary lines drawn inside a circle, which extend from a point on one side of the circumference and fall on the other. The most common form of a chord is the diameter itself. Diameter is the only chord in the circle that passed through the midpoint of the circle and thus divided the circle symmetrically into two halves. No other chord passes through the center of the circle. There can be an infinite number of diameters drawn inside a circle, each dividing the circle symmetrically into two halves. So it would be right to say that one of the forms of the chords of a circle helps understand the symmetry of the circle and helps identify a circle and distinguish between any other round shape and a perfect circle.

Basic Lesson
Guides students through determining chord values. In a circle, a radius perpendicular to a chord bisects the chord.
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Intermediate Lesson
Demonstrates the concept of angled chords. In a circle, or congruent circles, congruent chords are equidistant from the center.
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Independent Practice 1
A really great activity for allowing students to understand the concepts of the Chords and Circles.
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Independent Practice 2
Students use Chords and Circles in 20 assorted problems. The answers can be found below.
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Homework Worksheet
Students are provided with 12 problems to achieve the concepts of Chords and Circles. In a circle, or congruent circles, congruent chords are equidistant from the center.
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Alexander Pushkin (17991837) Russian author
"Inspiration is needed in geometry, just as much as in poetry."