FLASHCARD(2) - Arc Length, Sector Area, Intersecting Chords & Secant

Front

What is the formula for arc length?

Back

Arc Length = (θ/360) * 2πr, where θ is the central angle in degrees and r is the radius.

Front

Define sector area.

Back

The area of a sector is the portion of a circle enclosed by two radii and the arc between them. Formula: Area = (θ/360) * πr².

Front

What is the relationship between the radius and arc length?

Back

The arc length is directly proportional to the radius; as the radius increases, the arc length increases.

Front

How do you find the central angle from the arc length?

Back

Central Angle (θ) = (Arc Length / (2πr)) * 360.

Front

What is the formula for the area of a circle?

Back

Area = πr², where r is the radius of the circle.

Front

What is the formula for the length of a chord in a circle?

Back

Chord Length = 2r * sin(θ/2), where r is the radius and θ is the central angle.

Front

Define intersecting chords theorem.

Back

If two chords intersect in a circle, the products of the lengths of the segments of each chord are equal.

Front

What is the formula for the area of a sector when given the arc length?

Back

Area = (Arc Length * r) / 2.

Front

How do you calculate the length of a secant segment?

Back

Length of Secant Segment = (External Segment) * (Whole Secant).

Front

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

Back

The measure of the angle formed by two intersecting chords is equal to half the sum of the measures of the arcs intercepted by the angle.