Respuesta :

Answer:

28.26 ft²

Step-by-step explanation:

Formula

  • Area = πr²

Given :

  • Diameter = 6 ft
  • ⇒ Radius = 3 ft [Diameter = 2 x Radius]

Solving :

  • Area = 3.14 x 3 x 3
  • Area = 3.14 x 9
  • Area = 28.26 ft²

Answer:

28.26 feet²

Step-by-step explanation:

Substitute the radius in the formula:

⇒ Area of circular rug = πr²

⇒ Area of circular rug = π(6/2)²                                   [Diameter/2 = Radius]

Simplify the R.H.S:

⇒ Area of circular rug = π(3)²

⇒ Area of circular rug = π(9)                                              [(3)² = 3 × 3 = 9]

Take π as 3.14 and simplify:

⇒ Area of circular rug = (3.14)(9)

Area of circular rug = 28.26 feet²   (Using calculator)