The head of a nail is circular, as shown. The head of this nail has a diameter of 6 millimeters. Which measurement is closest to the area of the head of this nail in square millimeters? A) 9.42 mm2 B) 113.04 mm2 C) 28.26 mm2 D) 37.68 mm2

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jcg6821 jcg6821 · Answer 1 · 2020-02-14T21:00:47+01:00

Answer:

C) 28.26

Step-by-step explanation:

So in this scenario, we would use the formula πr2 (pi x radius x radius)

In this problem we were given the diameter of 6, in order to find the radius, you would just divide by 2!

In this scenario, it would be:

6mm÷2=3mm

So now that we have our radius, we can just plug the numbers (or three in this case) into the formula.

This would be:

πr2= 3.14 x 3 x 3= 28.26mm2

Hope this helps!

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MrRoyal MrRoyal · Answer 2 · 2021-12-09T11:00:25+01:00

The closest area of the head of the nail is 28.26 square millimeters

The diameter of the head of the nail is given as:

[tex]\mathbf{d = 6mm}[/tex]

Divide by 2 to calculate the radius of the head of the nail

[tex]\mathbf{r = \frac{6mm}2}[/tex]

[tex]\mathbf{r = 3mm}[/tex]

The area of the head of the nail is then calculated using:

[tex]\mathbf{Area = \pi r^2}[/tex]

So, we have:

[tex]\mathbf{Area = \frac{22}{7} \times 3^2}[/tex]

Evaluate the exponent

[tex]\mathbf{Area = \frac{22}{7} \times 9}[/tex]

Multiply 22 by 9

[tex]\mathbf{Area = \frac{198}{7} }[/tex]

Divide 198 by 7

[tex]\mathbf{Area = 28.26}[/tex]

Hence, the closest area of the head of the nail is 28.26 square millimeters