15.4 Segment Relationships in Circles

Front

What is a segment in a circle?

Back

A segment is a region of a circle bounded by a chord and the arc that it subtends.

Front

Define the term 'arc' in the context of circles.

Back

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

Front

What is the relationship between the central angle and the arc length?

Back

The length of an arc is directly proportional to the measure of the central angle that subtends it.

Front

How do you find the measure of an inscribed angle?

Back

The measure of an inscribed angle is half the measure of the intercepted arc.

Front

What is the formula for the circumference of a circle?

Back

C = 2πr, where r is the radius of the circle.

Front

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

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 and its vertical angle.

Front

How do you calculate the length of a chord?

Back

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

Front

What is the difference between a major arc and a minor arc?

Back

A minor arc is less than 180 degrees, while a major arc is greater than 180 degrees.

Front

What is the relationship between the angles formed by two secants that intersect outside a circle?

Back

The measure of the angle formed by two secants that intersect outside a circle is equal to half the difference of the measures of the intercepted arcs.

Front

Define 'tangent' in relation to circles.

Back

A tangent is a line that touches a circle at exactly one point.