Relax

Respuesta :

Answer:

26.67 cm

Step-by-step explanation:

Area of a sector

  • A = πr² x θ/360°
  • 280 = 22/7 x 21 x 21 x θ/360°
  • 280 = 22 x 3 x 21 x θ/360°
  • 40 = 22 x 9 x θ/360°
  • 40 = 22 x θ/40°
  • 1600 = 22 x θ
  • θ = 1600/22 = 800/11 = 72.7°

Finding Perimeter (Arc Length)

  • 2πr x θ/360°
  • 2 x 22/7 x 21 x 800/11 x 1/360
  • 2 x 22 x 3 x 800 x 1/11 x 1/360
  • 132/11 x 800/360
  • 12 x 20/9
  • 12/9 x 20
  • 4/3 x 20
  • 80/3
  • 26.67 cm

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