The diameter of a circle is 34 m. Find the circumference to the nearest tenth.
Understand the Problem
The question is asking to calculate the circumference of a circle given its diameter, which is 34 meters, and to round the answer to the nearest tenth.
Answer
The circumference is \( 106.8 \, \text{m} \).
Answer for screen readers
The circumference of the circle is approximately ( 106.8 , \text{m} ).
Steps to Solve
- Understand the circumference formula
The circumference ( C ) of a circle can be calculated using the formula: $$ C = \pi \times d $$ where ( d ) is the diameter.
- Substitute the diameter into the formula
Substituting the given diameter ( d = 34 ) m into the circumference formula: $$ C = \pi \times 34 $$
- Calculate the circumference
Now, using the approximate value of ( \pi ) (approximately 3.14): $$ C \approx 3.14 \times 34 $$
Calculating this gives: $$ C \approx 106.76 $$
- Round to the nearest tenth
Finally, rounding ( 106.76 ) to the nearest tenth gives: $$ C \approx 106.8 $$
The circumference of the circle is approximately ( 106.8 , \text{m} ).
More Information
The circumference is important in various applications, including physics and engineering, where understanding the perimeter helps in designing circular objects and understanding motion around curves.
Tips
- Not using the correct value of ( \pi ) can lead to inaccuracies. Always use an appropriate approximation (like 3.14) or the button on a calculator.
- Forgetting to round the final answer can result in errors.
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