Circles: Congruent Chords & Arcs

Front

What is a chord in a circle?

Back

A chord is a line segment whose endpoints lie on the circle.

Front

What is the relationship between congruent chords and their arcs?

Back

Congruent chords in a circle subtend congruent arcs.

Front

If two chords are congruent, what can be said about their distances from the center of the circle?

Back

Congruent chords are equidistant from the center of the circle.

Front

What is the formula to find the length of a chord given the radius and the distance from the center?

Back

Length of chord = 2 * √(r² - d²), where r is the radius and d is the distance from the center.

Front

How do you find the measure of an arc?

Back

The measure of an arc is equal to the measure of the central angle that subtends it.

Front

What is a secant line?

Back

A secant line is a line that intersects a circle at two points.

Front

What is a tangent line?

Back

A tangent line is a line that touches a circle at exactly one point.

Front

If two arcs are congruent, what can be said about the chords that subtend them?

Back

The chords that subtend congruent arcs are also congruent.

Front

What is the relationship between the diameter and the chords of a circle?

Back

The diameter is the longest chord of a circle.

Front

If the length of a chord is 12 cm and the radius is 10 cm, what is the distance from the center to the chord?

Back

Distance from the center to the chord = √(r² - (l/2)²) = √(10² - 6²) = 8 cm.