The area of the plate is 7850 square millimeters.
Important information:
- Circumference of the plate is [tex]100\pi[/tex] millimeters.
Area of circle:
Circumference of a circle with radius [tex]r[/tex] is:
[tex]C=2\pi r[/tex]
[tex]100\pi=2\pi r[/tex]
[tex]\dfrac{100\pi}{2\pi}=r[/tex]
[tex]50=r[/tex]
The radius of the plate is 50 millimeters.
Now, the area of the plate is:
[tex]A=\pi r^2[/tex]
[tex]A=(3.14)(50)^2[/tex]
[tex]A=(3.14)(2500)[/tex]
[tex]A=7850[/tex]
Therefore, the area of the plate is 7850 square millimeters.
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