The head of a nail is circular, as shown. The head of this nail has a diameter of 6 millimeters. Which millimeter is the closest to the area of the head of this nail in square centimeters?'

9.42
113.04
28.26
37.68

28.26 Why?

To find the area of the circular head of the nail in square centimeters, we first need to calculate the area of the circle. The formula for the area of a circle is A = πr^2, where r is the radius of the circle.

Given that the diameter of the nail head is 6 millimeters, the radius (r) is half of the diameter, so r = 6 mm / 2 = 3 mm.

Converting the radius to centimeters (1 cm = 10 mm), we get r = 3 mm / 10 = 0.3 cm.

Now we can calculate the area of the nail head:

A = π(0.3 cm)^2
A = π(0.09)
A ≈ 0.2826 square centimeters

Therefore, the closest millimeter to the area of the head of this nail in square centimeters is 28.26.