Question

A cake has circumference of 25 1/7 inches. What is the area of the cake? Use 22/7 to approximate π. Round to the nearest hundredth. Enter your answer in the box.

Answer 1

By definition, the circumference of a circle is given by:

`C = 2 * pi * r`
Where.
r: radius of the circle
Substituting values:

`25 (1)/(7) = 2 * (22/7) * r`
From here, we clear r:

`r = (7 * 25 (1)/(7)) / (2 * 22) r = 4 inches`
Then, the area of the cake, is the area of a circle:

`A = pi * r ^ 2`
Substituting values:

`A = (22/7) * 4 ^ 2 A = 50.3 inches ^ 2`
Answer:
the area of the cake is:

`A = 50.3 inches ^ 2`