The area decreases by 1155.52 square meters
Explanation:
What we must do is calculate the area before and after making the diameter cut.
The area of a circle is equal to:
a = pi * r ^ 2
now the diameter is equal to:
d = 2 * r
therefore r,
r = d / 2
before the cut would be
r = 96/2
r = 48
replacing in the area formula
a1 = 3.14 * 48 ^ 2
a1 = 7234.56 square meters.
after cutting the diameter decreases by 8, that is, 96 - 8 = 88, calculating the radius would be:
r = 88/2
r = 44
now calculating the new area would be:
a2 = 3.14 * 44 ^ 2
a2 = 6079.04 square meters.
now we calculate the difference
a1 - a2 = 7234.56 - 6079.04
= 1155.52 square meters
means that the area decreases by 1155.52 square meters