The radius of a circle is 1.3 ft. Find the circumference to the nearest tenth.
Understand the Problem
The question is asking to calculate the circumference of a circle given its radius of 1.3 feet. The solution will involve using the formula for circumference, C = 2πr, and rounding the answer to the nearest tenth.
Answer
The circumference of the circle is approximately $8.2$ ft.
Answer for screen readers
The circumference of the circle is approximately $8.2$ ft.
Steps to Solve
- Identify the formula for circumference
To find the circumference of a circle, use the formula: $$ C = 2\pi r $$ where $C$ is the circumference and $r$ is the radius.
- Substitute the given radius into the formula
Given that the radius $r$ is 1.3 ft, substitute this value into the formula: $$ C = 2 \pi (1.3) $$
- Calculate the circumference
Now calculate the value: $$ C = 2 \pi (1.3) \approx 2 \times 3.14159 \times 1.3 $$
- Round the result to the nearest tenth
After calculating the value, round it: $$ C \approx 8.168 $$ Rounding this to the nearest tenth gives: $$ C \approx 8.2 $$ ft.
The circumference of the circle is approximately $8.2$ ft.
More Information
The formula for the circumference of a circle shows how it relates directly to its radius. The constant $\pi$ (approximately 3.14159) is a mathematical constant representing the ratio of the circumference of any circle to its diameter.
Tips
- Forgetting to multiply by 2 when using the formula. Always ensure you perform the multiplication correctly.
- Not rounding correctly. Be sure to check the digit immediately following your rounding digit to determine if you should round up or down.
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