The radius of a circle is 5 cm. Find the circumference to the nearest tenth.
Understand the Problem
The question is asking us to calculate the circumference of a circle using the radius provided, which is 5 cm. To solve it, we will use the formula for circumference, C = 2πr, where r is the radius. We will then round the answer to the nearest tenth.
Answer
$31.4 \text{ cm}$
Answer for screen readers
The circumference of the circle is $31.4 \text{ cm}$.
Steps to Solve
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Identify the formula for circumference To find the circumference of a circle when given the radius, use the formula $$ C = 2 \pi r $$
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Substitute the radius into the formula Given that the radius $r = 5 \text{ cm}$, substitute this value into the formula: $$ C = 2 \pi (5) $$
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Calculate the circumference Now calculate the value: $$ C = 10 \pi $$
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Approximate the value using π Using the approximation $\pi \approx 3.14$, we can find: $$ C \approx 10 \times 3.14 = 31.4 $$
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Round to the nearest tenth The result is already in the nearest tenth, so the final answer is: $$ C \approx 31.4 \text{ cm} $$
The circumference of the circle is $31.4 \text{ cm}$.
More Information
The circumference represents the total distance around the circle. It's always calculated using the radius or diameter, and knowing how to apply the formula is essential for various applications, from designing circular objects to calculating distances.
Tips
- Failing to use the correct value for $\pi$. Always use a precise value or a good approximation ($3.14$ or $\frac{22}{7}$) for better accuracy.
- Forgetting to round to the specified number of decimal places. Make sure to note whether the question asks for rounding or final precision.
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