The radius of a circle is 3.5 ft. Find the circumference to the nearest whole number.
Understand the Problem
The question is asking to find the circumference of a circle with a given radius, specifically to round the final answer to the nearest whole number. We will use the formula for circumference, C = 2πr, where r is the radius.
Answer
$C \approx 22$ ft
Answer for screen readers
The circumference is approximately ( 22 ) ft.
Steps to Solve
- Identify the formula for circumference
To find the circumference of a circle, we use the formula: $$ C = 2\pi r $$ where ( r ) is the radius.
- Substitute the radius into the formula
Given the radius ( r = 3.5 ) ft, we can substitute it into the formula: $$ C = 2\pi(3.5) $$
- Calculate the circumference
Now we can calculate the value: $$ C = 2 \times \pi \times 3.5 $$
Using ( \pi \approx 3.14 ): $$ C \approx 2 \times 3.14 \times 3.5 $$
- Perform the multiplication
Calculating this step-by-step:
- First, calculate ( 2 \times 3.14 = 6.28 )
- Then, multiply ( 6.28 \times 3.5 )
- Round to the nearest whole number
Finally, round the result to the nearest whole number.
The circumference is approximately ( 22 ) ft.
More Information
The circumference of a circle provides a measure of the distance around the circle. It can also be useful in real-world applications such as determining the length of fencing needed to enclose a circular area.
Tips
- Forgetting to round the final answer to the nearest whole number.
- Miscalculating the multiplication when using the value of ( \pi ).
To avoid these, double-check your calculations and ensure you are rounding correctly.
AI-generated content may contain errors. Please verify critical information
