22amartin 22amartin
  • 23-03-2020
  • Mathematics
contestada

Find the area of a circle with a circumference of 34.6 feet

Respuesta :

Ursus Ursus
  • 24-03-2020

Answer:

Area of the circle = [tex]95.33feet^2[/tex]

Step-by-step explanation:

Circumference of the circle=34.6 feet

Circumference of a circle= [tex]2\pi r[/tex]

           [tex]34.6=2\pi r\\\\[/tex]

As, [tex]\pi =\frac{22}{7}=3.14[/tex]

        [tex]34.6=2*3.14*r\\\\34.6=6.28*r\\\\34.6/6.28=r\\\\r=5.51feet[/tex]

Area of the circle=[tex]\pi r^2[/tex]

            [tex]=3.14*5.51*5.51\\\\=3.14*30.36\\\\=95.33feet^2[/tex]

The area of the circle is [tex]95.33feet^2[/tex]

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