What is the circumference of a circle with a diameter of 14 inches?
Understand the Problem
The question is asking for the circumference of a circle given its diameter. To find the circumference, we will use the formula C = π * d, where C is the circumference and d is the diameter.
Answer
The circumference of the circle is approximately $43.96$ inches.
Answer for screen readers
The circumference of the circle is approximately ( 43.96 ) inches.
Steps to Solve
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Identify the Diameter The diameter of the circle is given as 14 inches.
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Use the Circumference Formula The formula for the circumference ( C ) of a circle is given by: $$ C = \pi d $$ where ( d ) is the diameter.
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Substitute the Diameter into the Formula Substituting the diameter into the formula: $$ C = \pi \times 14 $$
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Calculate the Circumference To approximate the value, use ( \pi \approx 3.14 ): $$ C \approx 3.14 \times 14 $$
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Perform the Multiplication Calculating the product: $$ C \approx 3.14 \times 14 = 43.96 $$
The circumference of the circle is approximately ( 43.96 ) inches.
More Information
The circumference of a circle is useful in various real-life applications, like determining the distance around an object or for projects requiring circular measurements.
Tips
- Confusing diameter with radius: Make sure to use the diameter directly in the formula without any additional conversions.
- Forgetting to multiply by ( \pi ): Ensure that ( \pi ) is included in the calculations for circumference.
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