Answer :

The area of the circle is  12.56 [tex]cm^{2}[/tex].

What is area of circle?

 The space occupied by a circle in a two-dimensional plane is defined as its area. A circle is a critical geometric figure found in many fields, including construction, engineering, and many others. Geometry problems involving circles necessitate the ability to calculate the area of a circle. The area of a circle is calculated as A = πr2, where r is the radius of the circle. The unit of area is the square unit, such as m2, cm2, in2, and so on.

Here the circumference of the circle is,

=> C = 25.2 cm

=> 2πr = 25.2

=> 2×3.14×r=25.2

=> r = [tex]\frac{25.2}{2*3.14}[/tex]

=> r= 4cm

Now area of the circle A= π[tex]r^2[/tex] [tex]unit^{2}[/tex]

=> A= 3.14*4 = 12.56 [tex]cm^{2}[/tex]

Hence area of the circle is  12.56 [tex]cm^{2}[/tex].

To learn more about area of circle refer the below link

https://brainly.com/question/10645610

#SPJ1