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 does it mean for two chords to be congruent?

Back

Two chords are congruent if they have the same length.

Front

If two chords in a circle are congruent, what can be said about their corresponding arcs?

Back

Their corresponding arcs are congruent.

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between the angles subtended by two congruent chords at the center of the circle?

Back

The angles subtended by two congruent chords at the center of the circle are equal.

Tags

CCSS.HSG.C.A.2

Front

How do you find the length of a chord given the radius and the angle subtended at the center?

Back

Use the formula: Length of chord = 2 * r * sin(θ/2), where r is the radius and θ is the angle in degrees.

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between the radius and a chord in a circle?

Back

The perpendicular from the center of the circle to a chord bisects the chord.

Front

If the radius of a circle is 10 cm and the distance from the center to the chord is 6 cm, what is the length of the chord?

Back

The length of the chord is 8 cm.

Tags

CCSS.HSG.C.A.2

Front

What is an arc in a circle?

Back

An arc is a portion of the circumference of a circle.

Tags

CCSS.HSG.C.B.5

Front

How do you calculate 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 the relationship between the lengths of two arcs subtended by congruent chords?

Back

The lengths of the two arcs are equal.

Tags

CCSS.8.G.A.2