![]() ![]() What can we say about the lengths of chords in the same circle, or inĬongruent circles, if their distances from the respective centers are equal? It is not difficult to modify the previous discussion to fit this particular case. ![]() Lengths, this relationship can extend to two chords from two congruent Relationship only uses the fact that the radii of the circle have equal Recall that two circles are congruent toĮach other if the measures of their radii are equal. Two chords in the same circle and their distances from the center of the circle In previous examples, we considered the relationship between the lengths of The center □, we know that the length of chord Since □ □ in the given diagram does not contain This tells us that the length of □ □ cannot In this case, the chord is a diameter of the circle. The distance of a chord from the center is zero, the chord should contain Longest chord should occur when the distance from the center is zero. Since the length of a chord is larger when it is closer to the center, the To identify the upper bound for □, we should ask what the However, this only provides the lower bound for □. Hence, the inequality □ □ > □ □ can be written as Is the distance of this chord from the center. Know that the distance of a chord from the center of the circle is measuredīy the length of the line segment from the center intersecting To the center of the circle has a greater length than the other. We recall that for two chords in the same circle, the chord that is closer ![]()
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |