(a) To find the upper bound of the circumference, we need to round up the value of the diameter to the nearest centimeter.
d = 5.36m = 536cm (to the nearest centimeter)
The circumference of a circle is given by the formula C = πd, where π is the constant pi (approximately equal to 3.14159).
So, the upper bound of the circumference is:
C = πd = 3.14159 × 536 = 1685.97724 cm (to 3 decimal places)
Therefore, the upper bound of the circumference of the pond is 1685.977 cm.
(b) To find the lower bound of the area, we need to round down the value of the radius to the nearest centimeter.
The radius of the pond is half of the diameter, so:
r = d/2 = 5.36/2 = 2.68m = 268cm (to the nearest centimeter)
The area of a circle is given by the formula A = πr^2.
So, the lower bound of the area is:
A = πr^2 = 3.14159 × 268^2 = 226191.45552 cm^2 (to 3 decimal places)
Therefore, the lower bound of the area of the pond is 226191.456 cm^2.
