Circles: chords, arcs and sectors
Plane geometry · Mathematics
Study notes
Q: Circle r = 6, central angle 60°. Arc length? Sector area? θ = 60° = π/3 radians. Arc: rθ = 6×π/3 = 2π ≈ 6.28. Sector: r²θ/2 = 36×(π/3)/2 = 6π ≈ 18.85. Fraction of circle: 60/360 = 1/6 (6π = 36π/6 ✓!).