Flashcards: Mastering Circle Measurements and Properties — 16 cards

Circle — basic elements?

Center, radius, chord, diameter, circumference.

Radius — definition?

Line from center to circle edge.

Diameter — relation to radius?

Diameter is twice the radius.

Circumference formula?

C = 2πr or πd.

Central angle — property?

Equals the measure of its intercepted arc.

Arc length — proportional to?

Central angle measure.

Sector area formula?

(Central angle/360°) × circle area.

Area of a disc?

πr², where r is radius.

Finding diameter from circumference?

d = C/π.

Finding radius from area?

r = √(area/π).

Circumference from radius?

C = 2πr.

Circle segment — definition?

Part of circle bounded by a chord and arc.

Proportionality in sectors?

Sector area ∝ central angle.

Real-world application?

Calculating material lengths, areas, or costs.

Chord — location?

Line connecting two points on the circle.

Key relationship?

Circumference/diameter = π.