10-3 Arcs & Chords

Front

What is the relationship between a radius or diameter that is perpendicular to a chord in a circle?

Back

It bisects the chord and its arc.

Front

If two chords in a circle are the same distance from the center, what can be said about them?

Back

The chords are congruent, the arc measures are congruent, and the central angles are congruent.

Front

Find the value of x if the chord lengths are equal and the distance from the center is the same.

Back

x = 10

Front

What is the definition of a chord in a circle?

Back

A chord is a line segment with both endpoints on the circle.

Front

What is the definition of an arc in a circle?

Back

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

Front

If the length of a chord is 16 and the distance from the center is 8, what is the radius of the circle?

Back

The radius is 10.

Front

What is the formula to find the length of a chord given the radius and the angle subtended at the center?

Back

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

Front

Find the value of x if the arc length is 31 and the radius is 8.

Back

x = 8.

Front

What is the relationship between the central angle and the arc length in a circle?

Back

The arc length is directly proportional to the central angle.

Front

If a diameter is drawn in a circle, what can be said about the arcs it creates?

Back

The diameter divides the circle into two equal arcs.