The diameter of a circle is 22 m. Find the circumference to the nearest tenth.
Understand the Problem
The question is asking to calculate the circumference of a circle using the given diameter of 22 m. The formula to calculate circumference is C = π * d, where d is the diameter. We need to round the answer to the nearest tenth.
Answer
The circumference is \( 69.1 \, \text{m} \).
Answer for screen readers
The circumference of the circle is approximately ( 69.1 , \text{m} ).
Steps to Solve
- Identify the formula for circumference
To find the circumference of a circle, we use the formula: $$ C = \pi \cdot d $$
where ( C ) is the circumference and ( d ) is the diameter.
- Substitute the diameter into the formula
Given that the diameter ( d = 22 ) m, we substitute this value into the formula: $$ C = \pi \cdot 22 $$
- Calculate the circumference
Using the approximate value of ( \pi \approx 3.14 ): $$ C \approx 3.14 \cdot 22 $$
Now perform the multiplication: $$ C \approx 69.08 , \text{m} $$
- Round to the nearest tenth
To round ( 69.08 ) to the nearest tenth, we look at the hundredths place (which is ( 8 )). Since it is greater than ( 5 ), we round up: $$ C \approx 69.1 , \text{m} $$
The circumference of the circle is approximately ( 69.1 , \text{m} ).
More Information
The circumference is a key measurement in geometry and is essential for various calculations involving circles. Notably, it relates directly to the diameter and is used in various real-world applications such as construction and manufacturing.
Tips
- Failing to use the correct value for ( \pi ): Some might use ( 3 ) instead of ( 3.14 ) which can lead to inaccurate results.
- Forgetting to round: After calculating the circumference, some may forget to round to the nearest tenth as specified.
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