Problem 14 of 7
Explain the circle area formula using sector rearrangement for a circle cut into thin wedges.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
connect rearranged sectors to rectangle-like area.
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Explanation must informally connect rearranged sectors to rectangle-like area.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Imagine dividing the circle into many sectors.
2. Rearrange them into an almost rectangle or parallelogram.
3. Use base pi r and height r to get pi r squared.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Explanations that only quote A=pi r^2 without derivation.