Sam built a circular fenced-in section for some of his animals .the section has a circumference of 55 meters .what is the approximate area ,in square meters ,of the section ?

Respuesta :

Answer:

  • 243 m²

Step-by-step explanation:

Area of circle:

  • A = πr²

Circumference of circle:

  • C = 2πr

Given

  • C = 55 m

Find r using the second formula:

  • 2πr = 55
  • 2*3.14r = 55
  • r = 55/6.28
  • r = 8.8 (rounded)

Find area using the first formula:

  • A = 3.14*8.8²
  • A = 243 m² (rounded)

Find radius

  • r=Circumference/2π
  • r=55/2π
  • r=8.8m

Area

  • πr²
  • π(8.8)²
  • 243m²