The diameter of a circle is 52.4 centimeters. What is the circle's area? Use π≈ 3.14 and round your answer to the nearest hundredth. square centimeters

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Hi1315

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]