What is the circumference of a circle with a diameter = 4 feet? Which of the following is the best estimation for the circumference.

Answer 1

The circumference \( C \) of a circle can be calculated using the formula:

\[ C = \pi \times d \]

where \( d \) is the diameter. Given that the diameter is 4 feet, we can substitute this value into the formula:

\[ C = \pi \times 4 \] \[ C \approx 3.14 \times 4 \approx 12.56 \text{ feet} \]

For estimation, you might round \( \pi \) to 3.14 or just consider it as roughly 3. So an easy estimation might be:

\[ C \approx 3 \times 4 = 12 \text{ feet} \]

Thus, the best estimation for the circumference of a circle with a diameter of 4 feet is approximately 12 feet.

Answer 2

What about 13

Answer 3

The exact circumference of a circle with a diameter of 4 feet, calculated using \( C = \pi \times d \), is approximately 12.56 feet.

If you are looking for estimations, 12 feet (using \( \pi \approx 3 \)) is a common approximation. Saying 13 feet could be considered a bit high when estimating based on the actual calculation.

However, if you need a rough estimate for some context where a slight overestimation might be acceptable, using 13 feet could be reasonable. But strictly speaking, the closest estimated value based on common approximations of \( \pi \) would still be around 12 feet.

In summary:

• The exact circumference is about 12.56 feet.
• Best estimation for practical purposes is about 12 feet, but 13 feet could be used as a loose estimate in certain contexts.

Answer 4

What is the circumference of a circle with a diameter of 3.25 meters? Estimate the circumference to the hundredths place using 3.14 for pi

Answer 5

To find the circumference \( C \) of a circle with a diameter of 3.25 meters, we can use the formula:

\[ C = \pi \times d \]

Substituting \( d = 3.25 \) meters and using \( \pi \approx 3.14 \):

\[ C = 3.14 \times 3.25 \]

Now we can perform the multiplication:

\[ C = 3.14 \times 3.25 = 10.245 \]

Rounding this to the hundredths place:

\[ C \approx 10.25 \text{ meters} \]

Therefore, the estimated circumference of the circle is 10.25 meters.