Arcs and Chords

Front

What is the formula to find the length of a minor arc in a circle?

Back

Length of minor arc = (θ/360) × 2πr, where θ is the angle in degrees and r is the radius.

Front

In circle O, if the radius is 4 and the measure of minor arc AB is 120 degrees, what is the length of minor arc AB?

Back

8 (using the formula: Length = (120/360) × 2π(4) ≈ 8).

Front

What do congruent arcs in a circle imply about their corresponding chords?

Back

Congruent arcs have congruent chords.

Front

If two chords are equidistant from the center of a circle, what can be said about their lengths?

Back

The chords are congruent to each other.

Front

What is the relationship between the central angle and the length of the arc it subtends?

Back

The length of the arc is directly proportional to the measure of the central angle.

Front

How do you find the measure of a central angle given the length of the arc and the radius?

Back

θ = (Length of arc / (2πr)) × 360.

Front

What is the definition of a chord in a circle?

Back

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

Front

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

Back

The diameter is twice the length of the radius (d = 2r).

Front

If the radius of a circle is doubled, how does that affect the length of the arcs?

Back

The length of the arcs also doubles.

Front

What is the measure of a semicircle in degrees?

Back

180 degrees.