Answer:
1134.1 square millimeters.
Step-by-step explanation:
The formula for the area (A) of a circle is given by:
[tex] A = \pi r^2 [/tex]
where [tex] \pi [/tex] is a mathematical constant approximately equal to 3.14159, and [tex] r [/tex] is the radius of the circle.
If the radius ([tex] r [/tex]) is 19 mm, we can substitute this value into the formula:
[tex] A = \pi \times (19 \, \text{mm})^2 [/tex]
Calculating this gives:
[tex] A \approx 3.14159 \times 19^2 \, \text{mm}^2 [/tex]
[tex] A \approx 3.14159 \times 361 \, \text{mm}^2 [/tex]
[tex] A \approx 1134.11479 \, \text{mm}^2 [/tex]
[tex] A \approx 1134.1 \text{mm}^2\textsf{ ( in 1 d.p.)} [/tex]
So, the area of the circle with a radius of 19 mm is approximately 1134.1 square millimeters.
