Subjects geometry

Circle Circumference 4543Dd

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Question: Calculate the circumference of this circle. Give your answer in terms of $\pi$. $42$ mm Graph: A circle centered near the lower-middle of the page with a radius line from the center to the lower-left edge labeled $42$ mm; position_hint = center.
1. **State the problem:** We need to calculate the circumference of a circle with radius $42$ mm, and express the answer in terms of $\pi$. 2. **Formula for circumference:** The circumference $C$ of a circle is given by the formula: $$C = 2 \pi r$$ where $r$ is the radius of the circle. 3. **Substitute the radius:** Here, $r = 42$ mm, so: $$C = 2 \pi \times 42$$ 4. **Calculate the product:** $$C = 2 \times 42 \pi = 84 \pi$$ 5. **Final answer:** The circumference of the circle is: $$\boxed{84 \pi \text{ mm}}$$ This means the circumference is $84$ times $\pi$ millimeters.
42 mm