Circle Properties

Front

What can be said about chords in a circle that are equidistant from the center?

Back

Chords that are the same distance from the center are congruent to each other.

Front

What is a tangent line in relation to a circle?

Back

A tangent is a line that intersects the circle at one point.

Front

How do you find the length of a segment in a circle when given certain measurements?

Back

Use the properties of intersecting chords or tangents to set up equations based on the given measurements.

Front

What is the relationship between the measures of arcs and the angles that subtend them?

Back

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

Front

What is the formula for the length of an arc in a circle?

Back

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

Front

What is the relationship between the angles formed by two intersecting chords in a circle?

Back

The measure of the angle formed by two intersecting chords is equal to half the sum of the measures of the arcs intercepted by the angle.

Front

How do you calculate the measure of an arc given its endpoints?

Back

The measure of an arc can be found by determining the central angle that subtends the arc.

Front

What is the significance of the radius in circle properties?

Back

The radius is the distance from the center of the circle to any point on the circle and is crucial for calculating area, circumference, and arc lengths.

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

How do you determine if two circles are congruent?

Back

Two circles are congruent if they have the same radius.