Ask a New Question
Menu

What is the circumfrence of a circle with a diameter of 3.25 meters estimate the circumfrence to the hundreths place using 3.14 for pi

5 answers

To find the circumference of a circle, you can use the formula:

\[ C = \pi \times d \]

where \( C \) is the circumference and \( d \) is the diameter. Given that the diameter is 3.25 meters and using \( \pi \approx 3.14 \), you can calculate the circumference as follows:

\[ C = 3.14 \times 3.25 \]

Now, performing the multiplication:

\[ C = 3.14 \times 3.25 = 10.225 \]

Rounding to the hundredths place, the circumference is:

\[ C \approx 10.23 \text{ meters} \]

So, the estimated circumference of the circle is 10.23 meters.

wrong

Let's recalculate the circumference step by step to ensure accuracy.

Using the formula for the circumference \( C = \pi \times d \) where the diameter \( d \) is 3.25 meters and \( \pi \) is approximately 3.14, we proceed:

  1. Substitute the values into the formula:

    \[ C = 3.14 \times 3.25 \]

  2. Now perform the multiplication:

    • First, multiply \( 3.14 \times 3.25 \)
    • Breaking it down:

    \[ 3.14 \times 3.25 = 3.14 \times (3 + 0.25) = 3.14 \times 3 + 3.14 \times 0.25 \]

    • Calculating each term:

      • \( 3.14 \times 3 = 9.42 \)
      • \( 3.14 \times 0.25 = 0.785 \)

    • Adding those results together: \[ 9.42 + 0.785 = 10.205 \]

So, rounding 10.205 to the hundredths place gives:

\[ C \approx 10.21 \text{ meters} \]

Thus, the correct estimated circumference is 10.21 meters. Thank you for your patience!

you sure 10.21 is the answer

Let's carefully review the calculation of the circumference again using the values provided.

Given:

  • Diameter \( d = 3.25 \) meters
  • \( \pi \approx 3.14 \)

Formula for Circumference: \[ C = \pi \times d \]

Substituting the values: \[ C = 3.14 \times 3.25 \]

Now, let's perform the multiplication:

  1. Break it down: \[ 3.14 \times 3.25 = 3.14 \times (3 + 0.25) = (3.14 \times 3) + (3.14 \times 0.25) \]

  2. Calculate each term:

    • First, \( 3.14 \times 3 = 9.42 \)
    • Next, \( 3.14 \times 0.25 = 0.785 \)

  3. Now add them together: \[ 9.42 + 0.785 = 10.205 \]

  4. When rounding to the hundredths place, \( 10.205 \) rounds to \( 10.21 \).

So, I can confirm that the calculated circumference of the circle, rounded to the hundredths place, is indeed 10.21 meters. Thank you for your understanding!