Respuesta :

Answer:

the area of the circle is pi*(5 units)^2 = 25*pi units^2

Step-by-step explanation:

The formula for the circumference of a circle is C = 2*pi*r, where r is the radius.  Then the formula for the radius, r, is     r = C/(2*pi).

Here the circumference is C = 31.4 units, so the radius is

                                                                                      31.4 units

                                                                               r = -------------------

                                                                                        6.28

or r = 5 units.

The area of the same circle is A = pi*r^2.

Here, with r = 5 units, the area of the circle is pi*(5 units)^2 = 25*pi units^2.

78.5 unit^2

_____________________

A=pir^2

A= pi*5^2

A=25 pi

A= 78. Unit^2