Arc Length and Area Sector

Area = (θ/360) × πr², where θ is the central angle in degrees and r is the radius.

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

A sector is a portion of a circle enclosed by two radii and the arc between them.

The area of a sector is directly proportional to the central angle.

Degrees = Radians × (180/π).

Radians = Degrees × (π/180).

Area = (90/360) × π(10)² = 25π in² ≈ 78.54 in².

Arc Length = (60/360) × 2π(5) = (1/6) × 10π ≈ 5.24 ft.

Area = (45/360) × π(8)² = (1/8) × 64π = 8π m² ≈ 25.13 m².

The area of the sector increases by a factor of four, since area is proportional to the square of the radius.