The head of a nail is circular, as shown. The head of this nail has a diameter of 8 millimeters Which measurement is closest to the area of the head of this nail in square millimeters?

The measurement used is "mm²"

Depending on the options provided, here are some answers in decreasing accuracy

16π mm² ; 50.26548 mm² ; 50.24 mm²

Step-by-step explanation:

To find the area of a circle, you'd use the equation:

A=πr²

And since you have been given a diameter:

d=2r

.: A=π(d/2)²

For the area, you take the unit provided and square it (eg cm to cm²) or just do u² if no units are provided. In your case, it is mm to mm²

All together, we can just replace the variable used with numbers to fill in:

A=π(8/2)²

.:A=π4²

.:A=16π mm²

Lastly, based on how your question is worded, the answer was either the measurement given or you need to simplify.

The measurement would be mm²

If π is typed into a calculator:

A= 50.265482...

If π≈3.14

A= 50.24

I'm also guessing this is multiple choice it is asking for the closest answer, in which case I have listed them in decreasing accuracy above.

.24

step-by-step explanation:

the probability is   .24

the first player had the highest probability of getting a silver marble

the game could be made fair by adding back the marble that was drawn after each draw

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet