Subjects geometry

Circle Circumference A18C40

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Question: Using $\pi$, not an approximation, what is the circumference of a circle with a radius of $6.55$ cm? Round to the tenths place.
1. **State the problem:** We need to find the circumference of a circle with radius $r = 6.55$ cm 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:** $$C = 2 \pi \times 6.55$$ 4. **Calculate the exact expression:** $$C = 13.1 \pi$$ 5. **Approximate using $\pi \approx 3.1415926535$ to round:** $$C \approx 13.1 \times 3.1415926535 = 41.1503...$$ 6. **Round to the tenths place:** $$41.1503... \approx 41.2$$ 7. **Answer:** The circumference is approximately $41.2$ cm. **Therefore, the correct choice is 41.2 cm.**