The set of possible integers is 1, 2, 3, 4, and 5.
The area of a circle with radius of n centimeters = π(n)^2.
So, the set of possible values are:
n area = π(n^2)
1 π
2 4π
3 9π
4 16π
5 25π
And the expected value of the area may be determined as the mean (average) of the five possible areas:
expected value of the area = [ π+ 4π + 9π + 16π + 25π] / 5 = 11π ≈ 34.5575, which rounded to the nearest hundreth is 34.56
Answer: 34.56
