Respuesta :

nkirotedoreen46

Answer:

7850 square units

Step-by-step explanation:

According to the question;

  • Circumference of a circle is 314 units;

We are required to find the area of the circle;

  • First, we need to ask ourselves how we get the perimeter of a circle;

Perimeter of a circle = pi × D or 2 pi r

Therefore;

Rearranging the formula;

D = Perimeter ÷ pi

Taking pi to be 3.14

Then;

Diameter = 314 units ÷ 3.14

              = 100 units

But, radius = Diameter ÷ 2

                  = 100 units ÷ 2

                  = 50 units

We also need to know how we calculate the area of a circle;

Area of a circle = pi×r²

Therefore;

Taking pi as 3.14

Then, Area = 3.14 × 50²

                   = 7850 square units

Thus, the area of the circle is 7850 square units

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