Arcs and Chords

Front

What is a chord in a circle?

Back

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

Front

What happens when a radius is perpendicular to a chord?

Back

It bisects the chord and its arc.

Tags

CCSS.HSG.C.A.2

Front

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

Back

They are congruent to each other.

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between the diameter and the chords in a circle?

Back

The diameter is the longest chord in a circle.

Front

How do you find the length of a chord given the radius and the distance from the center?

Back

Use the formula: length = 2 * sqrt(r^2 - d^2), where r is the radius and d is the distance from the center.

Tags

CCSS.HSG.C.A.2

Front

What is the arc of a circle?

Back

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

Tags

CCSS.HSG.C.B.5

Front

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

Back

The arc length is directly proportional to the central angle.

Tags

CCSS.HSG.C.B.5

Front

How do you calculate the measure of an arc?

Back

The measure of an arc is equal to the measure of its central angle.

Front

What is the formula for the circumference of a circle?

Back

Circumference = 2 * π * r, where r is the radius.

Tags

CCSS.7.G.B.4

Front

What is the relationship between the angles subtended by the same arc at the center and on the circle?

Back

The angle at the center is twice the angle at the circumference.

Tags

CCSS.HSG.C.A.2