Circles ADV TEST: Chords Tangents Secants Arc Length(Part1)2025

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 a secant line?

Back

A secant line intersects a circle at two points.

Front

How do you calculate the arc length of a circle?

Back

Arc 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 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

State the Tangent-Secant Theorem.

Back

If a tangent and a secant intersect at a point outside a circle, the square of the length of the tangent segment is equal to the product of the lengths of the secant segment and its external part.

Front

What is the formula for the area of a circle?

Back

Area = πr², where r is the radius.

Front

How do you find the measure of an inscribed angle?

Back

The measure of an inscribed angle is half the measure of the intercepted arc.

Front

What is the central angle of a circle?

Back

A central angle is an angle whose vertex is at the center of the circle and whose sides are radii.

Front

Define a sector of a circle.

Back

A sector is a region bounded by two radii and the arc between them.