High School

What is the circumference of a circular swimming pool with a radius of 8 feet? (Round your answer to the nearest tenth.)

A. 25.1 ft
B. 201.1 ft
C. 100.5 ft
D. 50.3 ft

Answer :

Sure! Let's solve the problem step by step.

To find the circumference of a circular swimming pool, you can use the formula:

[tex]\[ C = 2 \times \pi \times r \][/tex]

where:
- [tex]\( C \)[/tex] is the circumference
- [tex]\( \pi \)[/tex] (pi) is approximately 3.14159
- [tex]\( r \)[/tex] is the radius of the circle

Given:
- Radius [tex]\( r = 8 \)[/tex] feet

Plugging in the radius into the formula:

[tex]\[ C = 2 \times 3.14159 \times 8 \][/tex]

First, multiply [tex]\( 3.14159 \)[/tex] by 8:

[tex]\[ 3.14159 \times 8 = 25.13272 \][/tex]

Next, multiply that result by 2:

[tex]\[ 2 \times 25.13272 = 50.26544 \][/tex]

Now, we need to round this result to the nearest tenth. To do that, we can look at the hundredth place, which is 6. Since 6 is greater than 5, we round up:

[tex]\[ 50.26544 \text{ rounded to the nearest tenth is } 50.3 \][/tex]

Therefore, the circumference of the circular swimming pool is [tex]\( 50.3 \)[/tex] feet.

The correct answer is:

D. 50.3 ft