Circles Question
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Grade 11 Circles CCSS: HSG-GMD.A.1
Rearranging the equation from the previous step, we find that C=2πr, which is the formula for the circumference of a circle. If we had started with a circle such that d≠1, would we have been able to derive the correct formula? Why or why not?
- No, a circle with a larger or smaller diameter would have had a larger or smaller circumference, and so the value found in step H would have been different.
- No, a circle with d≠1 would also have r≠12, and so the formula would be different.
- Yes, because other calculations would be performed to compensate for this, and thus arrive at the correct formula.
- Yes, since the ratio of a circle's diameter to its circumference is always the same, it doesn't matter what the length of the original circle's diameter is.