Final answer:
To find the area of a circle with a given diameter, you can use the formula A = πr^2, where r is the radius obtained by dividing the diameter by 2. The area of the circle with a diameter of 13 m is approximately 132.7 m².
Step-by-step explanation:
To find the area of a circle, we can use the formula A = πr^2, where A is the area and r is the radius of the circle. The diameter of a circle is twice the length of its radius, so we can calculate the radius by dividing the diameter by 2. In this case, the diameter is 13 m, so the radius would be 13/2 = 6.5 m. Plugging this value into the formula, we get A = π(6.5)^2. Using 3.14 as an approximation for π, we can calculate the area to the nearest tenth: A ≈ 3.14 * 6.5^2 ≈ 3.14 * 42.25 ≈ 132.665 ≈ 132.7 m².
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