Congruent Chords and Arcs

Front

What are congruent chords in a circle?

Back

Congruent chords are chords that are equal in length and are located at the same distance from the center of the circle.

Front

What happens to the chords that are equidistant from the center of a circle?

Back

Chords that are equidistant from the center of a circle are congruent to each other.

Front

What is the relationship between congruent arcs and their chords?

Back

Congruent arcs have congruent chords.

Front

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

Back

The arcs subtended by congruent chords are also congruent.

Front

What is the measure of an arc in relation to its central angle?

Back

The measure of an arc is equal to the measure of its central angle.

Front

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

Back

The length of a chord can be found using the formula: L = 2r * sin(θ/2), where r is the radius and θ is the angle in radians.

Front

What is the relationship between the radius and the distance from the center to a chord?

Back

The distance from the center of the circle to a chord is the perpendicular distance, and it bisects the chord.

Front

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

Back

The length of the chord is 8 units.

Front

What is the formula for the area of a sector of a circle?

Back

The area of a sector is given by the formula: A = (θ/360) * πr², where θ is the angle in degrees and r is the radius.

Front

How do you determine the length of an arc?

Back

The length of an arc can be calculated using the formula: L = (θ/360) * 2πr, where θ is the angle in degrees and r is the radius.