Tangents, Arcs, Chords

Front

What is a tangent in relation to a circle?

Back

A tangent is a line that touches a circle at exactly one point, known as the point of tangency.

Front

Define 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 length of a tangent segment from a point outside the circle?

Back

The length of the tangent segment can be found using the formula: length = √(distance from the point to the center of the circle² - radius²).

Front

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

Back

A tangent is perpendicular to the radius drawn to the point of tangency.

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: (a * b) = (c * d), where a and b are segments of one chord and c and d are segments of the other.

Front

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

Back

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

Front

How do you calculate the measure of an arc?

Back

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

Front

What is the formula for the length of an arc?

Back

The length of an arc can be calculated using the formula: length = (θ/360) * 2πr, where θ is the central angle in degrees and r is the radius.

Front

What is the relationship between the angles formed by a tangent and a chord?

Back

The angle formed by a tangent and a chord through the point of contact is equal to the measure of the opposite arc.