Respuesta :

Answer:

A ≈ 1192.7727 [tex]\pi[/tex]

Step-by-step explanation:

To find:

  • Find area  A of a circle if circumference C = 217.

⇒ A = ?

⇒ C = 217

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STEP 1: find radius [tex]r[/tex]

To find radius [tex]r[/tex]  use formula:

                                                             [tex]C=2*r*\pi[/tex]

After substituting [tex]C=217[/tex] we have:

                                                             [tex]217=2*r*\pi \\r=\frac{217}{2\pi }[/tex]

                                                             [tex]r[/tex] ≈ [tex]34.5365[/tex]

STEP 2: find area [tex]A[/tex]

To find area [tex]A[/tex] use formula:

                                            [tex]A=r^{2} *\pi[/tex]

After substituting [tex]r=34.5365[/tex]  we have:

                                                                    [tex]A=34.5365^{2} *\pi \\A=1192.7727\pi[/tex]

                                               

Answer:

Step-by-step explanation:

You need to find r before you can find the area. You have the circumference so that will give you r.

When you have r, the Area formula is A = pi r^2

Find r from the circumference

C  =  2 * pi * r                          Divide by 2 * pi

C/ * 2pi = 2*pi * r / 2pi            Combine

C/2* pi = r

C = 217

C/2* pi = r

108.5 / pi = r

Find the Area

r = 108.5 / pi

Area = pi * r^2

Area = pi * 108.5^2 / pi^2

Area = 11772.25/ pi