Respuesta :

Circumference = 2 x Pi x Radius (R)
Pi = approximately 3.14

-> 31.4 = 2 x 3.14 x R
-> R x 6.28 = 31.4
-> R = 31.4/6.28
-> R = 5 units

Area = Pi x R^2

-> Area = 3.14 x 5^2
-> Area = 3.14 x 25
-> Area = 78.5 Units^2

Answer:

The area of the circle is 78.5 unit square.

Step-by-step explanation:

Given : The circumference is 31.4 units.

To find : The area of the circle ?

Solution :

The circumference of the circle is [tex]C=2\pi r[/tex]

Where, r is the radius

C is the circumference C=31.4 units

[tex]31.4=2\pi r[/tex]

[tex]r=\frac{31.4}{2\times 3.14}[/tex]

[tex]r=5[/tex]

The radius of the circle is r=5 unit.

The area of the circle is [tex]A=\pi r^2[/tex]

[tex]A=3.14\times 5^2[/tex]

[tex]A=3.14\times 25[/tex]

[tex]A=78.5[/tex]

Therefore, The area of the circle is 78.5 unit square.

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