nanicharriez809
nanicharriez809 nanicharriez809
  • 23-03-2020
  • Mathematics
contestada

The circumference of a circle is 11π inches. What is the area, in square inches, of the circle? Express your answer in terms of π.

Respuesta :

mayank3
mayank3 mayank3
  • 23-03-2020

Answer:

Answer is 121π^2/4 square inches

Answer Link
Ursus Ursus
  • 23-03-2020

Answer:

Area of the circle =[tex]11\pi inches^2[/tex]

Step-by-step explanation:

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

For circumference= [tex]11\pi[/tex] inches

    [tex]11\pi =2\pi r\\\\11=2r\\\\r=11/2\\\\r=5.5 inches[/tex]

For radius= 5.5 inches

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

                         [tex]=2*\pi*5.5\\\\=11.0\pi[/tex]

                 [tex]Area=11\pi inches2[/tex]

The area of the circle is [tex]11\pi inches^2[/tex]

Answer Link

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