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Geometry of Circles: Chords, Segments, and Radius Calculations

This document explores various properties of circles, focusing on chords, segments, and crucial relationships between radius and diameter. Key concepts include how a radius or diameter perpendicular to a chord bisects the chord and its arc, the conditions for chord congruence based on their distances from the center, and practical problems involving radius length calculation from given chord lengths and their distances to the center. It also encompasses multiple questions related to different circles and their dimensions.

lucian-vaughn
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Geometry of Circles: Chords, Segments, and Radius Calculations

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  1. Arcs and Chords 9.3

  2. 2. Identify the special name given to each segment in Circle Q. 1. Find the value of x.

  3. In a circle, if a radius or diameter is perpendicular to a chord, then it bisects the chord and it’s arc.

  4. In a circle, two chords are congruent if and only if they are equidistant from the center. • XY and AB are both equidistant from then center of circle S. • If XY = 48, what is AB?

  5. The chord of circle C is 20 inches long and 12 inches from the center of circle C. Find the length of the radius.

  6. 1. RB=5, AB= • 2. AB=14, AR= • 3. RB=4, OR=3, OB= • 4. OB =10, RB=8, OR= • 5. OB=10, AR=6, OR= **Each question is unrelated to the question before it.**

  7. 1. QT=8, QN= • 2. TE=6, TN= • 3. TN=82, ET= • 4. QE=3,EN=4,QN= • 5. QN=13,EN=12,QE= • 6. TN=16, QE=6, QN= **Each question is unrelated to the question before it.**

  8. Suppose a chord of a circle is 24cm long and is 15 cm from the center of the circle. Find the length of the radius.

  9. Suppose the diameter of a circle is 34in long and a chord is 30in long. Find the distance between the chord and the center of the circle.

  10. In circle J, LK=10 cm, RJ = 10 cm, find x. cm

  11. In circle J, JM=5m and AB=2m, find x.

  12. Find RS.

  13. RS=24m, MW=5m, find MT and TW.

  14. AM=5m, AL=3m, find JK.

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