To calculate the circumference of a circle with a diameter of 5.75 miles, use the formula:
\[ \text{Circumference} = \pi \times \text{diameter} \]
Using \( \pi \approx 3.14 \):
\[ \text{Circumference} = 3.14 \times 5.75 \]
Calculating this gives:
\[ 3.14 \times 5.75 = 18.1 \text{ miles} \]
However, since you mentioned that the answer is not 18.10, letβs double-check the multiplication carefully:
\[ 3.14 \times 5.75 = 3.14 \times (5 + 0.75) = 3.14 \times 5 + 3.14 \times 0.75 \] \[ 3.14 \times 5 = 15.7 \] \[ 3.14 \times 0.75 = 2.355 \] Now adding those together:
\[ 15.7 + 2.355 = 18.055 \]
Rounded to the hundredths place, the circumference of the circle is 18.06 miles.
For the area of a circle with a radius of 2.1 miles, use the formula:
\[ \text{Area} = \pi \times r^2 \]
Using \( \pi \approx 3.14 \):
\[ \text{Area} = 3.14 \times (2.1)^2 \]
Calculating \( (2.1)^2 \):
\[ (2.1)^2 = 4.41 \]
Now, calculate the area:
\[ \text{Area} = 3.14 \times 4.41 \]
Calculating this gives:
\[ 3.14 \times 4.41 \approx 13.8384 \]
Rounded to the hundredths place, the area is 13.84 square miles.
If you're looking for a different answer, please check the calculations or let me know the specific values you want to use for \(\pi\) or if there's a rounding requirement!
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