The diameter of a circle is 92 cm. Find the circumference to the nearest whole number.
Understand the Problem
The question asks us to calculate the circumference of a circle given its diameter of 92 cm. The formula for circumference is C = π × diameter, and we need to round the result to the nearest whole number.
Answer
The circumference is approximately $289$ cm.
Answer for screen readers
The circumference of the circle is approximately $289$ cm.
Steps to Solve
- Identify the formula for circumference The formula for the circumference $C$ of a circle is given by:
$$ C = \pi \times d $$
where $d$ is the diameter.
- Substitute the diameter into the formula Given that the diameter $d = 92$ cm, we substitute this value into the formula:
$$ C = \pi \times 92 $$
- Calculate the circumference Using the approximate value of $\pi \approx 3.14$:
$$ C \approx 3.14 \times 92 $$
- Perform the multiplication Calculating the product:
$$ C \approx 288.88 $$
- Round to the nearest whole number Now, we round $288.88$ to the nearest whole number, which is:
$$ C \approx 289 $$
The circumference of the circle is approximately $289$ cm.
More Information
The circumference of a circle is a crucial concept in geometry, often used in real-world applications such as engineering, construction, and design. The value of $\pi$ (approximately 3.14) is a mathematical constant that appears in various formulas involving circles.
Tips
- Forgetting to multiply by $\pi$: Ensure that you always multiply the diameter by $\pi$ to find the circumference.
- Incorrect rounding: Be careful when rounding values. Always look at the digit immediately following the rounding place.
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