Arcs, Chords, Tangents Test

Front

What is a chord in a circle?

Back

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

Front

Define a tangent to a circle.

Back

A tangent is a line that touches the circle at exactly one point.

Front

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

Back

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

Front

What is the measure of an angle formed by two chords that intersect inside a circle?

Back

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

Front

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

Back

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

Front

What is the arc length of a circle?

Back

Arc length is the distance along the curved line of the arc, calculated as (θ/360) * 2πr, where θ is the central angle in degrees.

Front

What is the formula for the area of a sector of a circle?

Back

Area of a sector = (θ/360) * πr², where θ is the central angle in degrees.

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.

Front

What is the relationship between the angles formed by two tangents drawn from a point outside the circle?

Back

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

Front

How do you find the measure of an angle formed by a tangent and a chord?

Back

The measure of the angle is equal to half the measure of the intercepted arc.