The head of a nail is shown. The head of this nail has a diameter of 6 millimeters. Which millimeter is the colsest to the area of the head of this nail in square centimeters?
The area of a circle is given by the formula: A = πr^2
The radius of the head of the nail is half of the diameter, so the radius is 3 millimeters.
Plugging in the values, we get:
A = π(3)^2
A = 9π
Since π is approximately equal to 3.14159, we get:
A ≈ 9 x 3.14159
A ≈ 28.27431 mm^2
Converting this to square centimeters by dividing by 100 (since there are 100 square millimeters in a square centimeter), we get:
A ≈ 28.27431 / 100
A ≈ 0.2827 square centimeters
So, the closest millimeter to the area of the head of this nail in square centimeters is 0.283.