Subjects geometry

Circle Circumference F254F5

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Question: Using $\pi$, not an approximation, what is the circumference of a circle with a radius of $10.1$ in? Round to the tenths place.
1. **State the problem:** We need to find the circumference of a circle with radius $r = 10.1$ inches using $\pi$ exactly, then round the result to the tenths place. 2. **Formula:** The circumference $C$ of a circle is given by the formula: $$C = 2 \pi r$$ 3. **Substitute the radius:** $$C = 2 \pi \times 10.1$$ 4. **Calculate the exact expression:** $$C = 20.2 \pi$$ 5. **Approximate using $\pi \approx 3.14159$ to round:** $$C \approx 20.2 \times 3.14159 = 63.466118$$ 6. **Round to the tenths place:** $$63.466118 \approx 63.5$$ 7. **Answer:** The circumference is approximately $63.5$ inches. **Therefore, the correct choice is:** 63.5 in.