By definition, the circumference of a circle is given by:
[tex]C = 2 * pi * r
[/tex]
Where.
r: radius of the circle
Substituting values:
[tex]25 \frac{1}{7} = 2 * (22/7) * r
[/tex]
From here, we clear r:
[tex]r = (7 * 25 \frac{1}{7}) / (2 * 22)
r = 4 inches
[/tex]
Then, the area of the cake, is the area of a circle:
[tex]A = pi * r ^ 2
[/tex]
Substituting values:
[tex]A = (22/7) * 4 ^ 2
A = 50.3 inches ^ 2[/tex]
Answer:
the area of the cake is:
[tex]A = 50.3 inches ^ 2[/tex]
