Estimate Values of Expressions with Pi Quick Check

3 of 53 of 5 Items
Question
What is the circumference of a circle with a radius of 2.5 feet? Estimate the circumference to the tenths place using 3.14 for π
.(1 point)
Responses

15.6 feet
15.6 feet

16 feet
16 feet

15.7 feet
15.7 feet

7.85 feet

1 answer

The formula for the circumference \( C \) of a circle is given by:

\[ C = 2 \pi r \]

Where \( r \) is the radius. For a circle with a radius of 2.5 feet and using \( \pi \approx 3.14 \):

\[ C = 2 \times 3.14 \times 2.5 \]

Calculating:

\[ C = 2 \times 3.14 = 6.28 \] \[ C = 6.28 \times 2.5 = 15.7 \]

So, the estimated circumference rounded to the tenths place is:

\[ \text{Circumference} \approx 15.7 \text{ feet} \]

The correct response is 15.7 feet.

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