Chord Practice

Front

What is a chord in a circle?

Back

A chord is a line segment with both endpoints on the circle.

Front

How do you find the length of a chord given the radius and the angle subtended at the center?

Back

Use the formula: Length of chord = 2 * r * sin(θ/2), where r is the radius and θ is the angle in radians.

Tags

CCSS.HSG.C.A.2

Front

What is the relationship between the diameter and the chord?

Back

The diameter is the longest chord in a circle.

Front

If a chord is perpendicular to a radius at its endpoint, what can be said about the chord?

Back

The chord is bisected by the radius.

Front

What is the formula to find the distance from the center of the circle to a chord?

Back

Distance = sqrt(r^2 - (c/2)^2), where r is the radius and c is the length of the chord.

Tags

CCSS.HSG.C.A.2

Front

How do you solve for x in a chord length problem?

Back

Set up an equation based on the properties of chords and circles, then solve for x.

Tags

CCSS.HSG.C.A.2

Front

What is the significance of the midpoint of a chord?

Back

The midpoint of a chord is equidistant from the endpoints of the chord.

Front

What is an arc in relation to a chord?

Back

An arc is a part of the circumference of a circle that is defined by the endpoints of the chord.

Front

If two chords intersect inside a circle, how can you find the lengths of the segments?

Back

Use the intersecting chords theorem: a * b = c * d, where a and b are segments of one chord and c and d are segments of the other.

Tags

CCSS.HSG.C.A.2

Front

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

Back

The angles are equal to half the sum of the measures of the arcs intercepted by the angles.

Tags

CCSS.HSG.C.A.2