Question
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?
Answers
GPT 3.5
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.
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.