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Maylin made a circle in the snow. The circle had a diameter of 14 meters. What is the area of the circle she made in the snow? Explain your answer.

User Sourav Das
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Final answer:

The area of the circle made by Maylin in the snow can be found using the formula \( A = \pi r^2 \), where the radius is half of the given diameter of 14 meters. After calculating, we determine that the area is approximately 150 square meters when rounded to one significant figure.

Step-by-step explanation:

To calculate the area of the circle made by Maylin in the snow, we use the formula for the area of a circle, which is \( A = \pi r^2 \).

First, we need to find the radius of the circle. Since the diameter is 14 meters, the radius (which is half of the diameter) will be \( \frac{14}{2} = 7 \) meters.

Next, we use the radius in the formula:

\( A = \pi r^2 = \pi \times 7^2 = \pi \times 49 \).

Using the value of \( \pi \) as approximately 3.1415927, we calculate the area:

\( A = 3.1415927 \times 49 \approx 153.9380403 \) square meters.

However, we must consider the significant figures. Since the diameter was given as one significant figure (14 meters), we would round our final answer to the closest ten, resulting in an area of approximately 150 square meters.

User JTC
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