Answer:
2150.70 cm²
Step-by-step explanation:
The formula to find the area of a circle is [tex]A = \pi r^2[/tex], where r is the radius of the circle.
Given that the diameter d=52.4 centimeters, the radius r is half of the diameter, so[tex]r = \frac{d}{2}[/tex]
Let's substitute the value of d into the equation:
[tex]r = \frac{52.4}{2} \\\\r = 26.2[/tex]
Now, we'll use the formula for the area of a circle:
[tex]A = \pi \times (26.2)^2[/tex]
Using the approximation [tex]\pi \approx 3.14[/tex], we get:
[tex]A \approx 3.14 \times (26.2)^2 \\\\A \approx 3.14 \times 684.64\\\\ A \approx 2150.6976[/tex]