Chords and Tangents

Front

What is a chord in a circle?

Back

A segment whose endpoints lie on the circle.

Front

What is a tangent line to a circle?

Back

A line that touches the circle at exactly one point.

Front

If two tangents are drawn from a point outside a circle, what can be said about their lengths?

Back

The lengths of the two tangents are equal.

Front

What is the relationship between a radius and a tangent at the point of tangency?

Back

The radius is perpendicular to the tangent line at the point of tangency.

Front

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

Back

Use the formula: length of chord = 2 * √(r² - d²), where r is the radius and d is the distance from the center to the chord.

Front

What is the angle formed between a tangent and a chord through the point of contact?

Back

The angle is equal to the angle in the alternate segment.

Front

If a circle has a radius of 10 cm, what is the maximum length of a chord?

Back

The maximum length of a chord is equal to the diameter, which is 20 cm.

Front

What is the relationship between the angles subtended by the same chord at the circumference of the circle?

Back

The angles are equal.

Front

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

Back

The products of the lengths of the segments of each chord are equal.

Front

What is the measure of an angle formed by two tangents drawn from a point outside the circle?

Back

The angle is equal to half the difference of the measures of the intercepted arcs.