Answer:
[tex]452.16 mm^{2}[/tex]
Step-by-step explanation:
Hello, I think I can help you with this
the area of a circle is given by:
[tex]Area\ of\ a\ circle=\pi *radius^{2} eq\ (1) \\[/tex]
also
[tex]radius=\frac{diameter}{2} eq(2)[/tex]
Step one
find the radius
Let
diameter=24 millimeters
replace the value of diameter in equation (2) to find the radius
[tex]radius=\frac{diameter}{2}\ eq(2)\\radius=\frac{24\ millimeters}{2}\\ radius=12\ millimeters\\[/tex]
Step two
find the area
replace the value of radius in equation (1) to find the area
[tex]Area\ of\ a\ circle=\pi *radius^{2} \\Area\ of\ a\ circle=\pi *(12\ millimeters )^{2}\\Area\ of\ a\ circle=\pi *144 (millimeters )^{2} \\\\Area\ of\ a\ circle=452.16 (millimeters )^{2}[/tex]
Have a good day
