the head of this nail has a diameter of 8 millimeters. what is the area of the head of the nail in square…

the head of this nail has a diameter of 8 millimeters. what is the area of the head of the nail in square millimeters? square millimeters

the head of this nail has a diameter of 8 millimeters. what is the area of the head of the nail in square millimeters? square millimeters

Answer

Explanation:

Step1: Find the radius of the nail head

The diameter ( d = 8 ) millimeters. The radius ( r ) is half of the diameter, so ( r=\frac{d}{2}=\frac{8}{2} = 4 ) millimeters.

Step2: Use the formula for the area of a circle

The formula for the area ( A ) of a circle is ( A=\pi r^{2} ). Substitute ( r = 4 ) into the formula: ( A=\pi\times4^{2}=\pi\times16\approx3.14\times16 = 50.24 ) square millimeters.

Answer:

( 50.24 )