Estimate Values of Expressions with Pi Quick Check

Question

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

Answer 1

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.