Geo Arcs and Chords

Front

What is an arc in a circle?

Back

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

Front

What is a chord in a circle?

Back

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

Front

How do you find the measure of an arc?

Back

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

Front

What is the relationship between chords and their distances from the center of a circle?

Back

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

Front

If two arcs are congruent, what can be said about their corresponding chords?

Back

The corresponding chords of congruent arcs are also congruent.

Front

What is the formula for the length of a chord in a circle?

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 relationship between the angles formed by two intersecting chords?

Back

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

Front

How do you calculate 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 central angle of a circle?

Back

A central angle is an angle whose vertex is at the center of the circle and whose sides intersect the circle.

Front

If the measure of arc AB is 96°, what is the measure of the inscribed angle that intercepts arc AB?

Back

The measure of the inscribed angle is 48°.