Chords and a Circle's Center - Concept

Concept Concept (1)

A chord is a line segment whose endpoints are on a circle. If a chord passes through the center of the circle, it is called a diameter. Two important facts about a circle chord are that (1) the perpendicular bisector of any chord passes through the center of a circle and (2) congruent chords are the same distance (equidistant) from the center of the circle.

Sample Sample Problems (3)

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Chords and a Circle's Center - Problem 1
Problem 1
How to find the length of two chords where the length of the perpendicular bisectors are given.
Chords and a Circle's Center - Problem 2
Problem 2
How to find the center of a circle given only an arc.
Chords and a Circle's Center - Problem 3
Problem 3
How to find the radius of a circle when the length of a chord and its distance to the center of the circle is given.