What is the approximate circumference of the circle?
Understand the Problem
The question is asking to calculate the circumference of a circle using the provided diameter of 4 inches and the formula C = 2πr, with π approximated as 3.14.
Answer
The approximate circumference is \( 12.6 \, \text{in} \).
Answer for screen readers
The approximate circumference of the circle is ( 12.6 , \text{in} ).
Steps to Solve
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Identify the diameter and radius The diameter of the circle is given as 4 inches. To find the radius, use the formula: $$ r = \frac{d}{2} $$ where ( d ) is the diameter.
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Calculate the radius Substituting the diameter into the equation: $$ r = \frac{4 , \text{in}}{2} = 2 , \text{in} $$
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Use the circumference formula The formula for the circumference ( C ) is: $$ C = 2 \pi r $$ Substituting the radius into the equation and using ( \pi \approx 3.14 ): $$ C = 2 \times 3.14 \times 2 , \text{in} $$
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Perform the multiplication Now calculate the circumference: $$ C = 2 \times 3.14 \times 2 = 12.56 , \text{in} $$
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Round to the nearest answer choice The approximate circumference is 12.56 inches, which rounds to 12.6 inches.
The approximate circumference of the circle is ( 12.6 , \text{in} ).
More Information
The circumference represents the total distance around the edge of the circle. Using the formula with ( \pi \approx 3.14 ) provides a practical way to handle calculations without using a calculator.
Tips
- Forgetting to divide the diameter by 2 to get the radius.
- Not rounding the final answer to fit the provided choices.
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