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Sophie and Isadora ride around a circular track that has an inner radius of 30 m. The track is 2 m wide and Isadora rides along the outer lane. How much further does Isadora ride than Sophie, In one lap?
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Nov 16, 2021
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Sophie and Isadora ride around a circular track that has an inner radius of 30 m. The track is 2 m wide and Isadora rides along the outer lane. How much further does Isadora ride than Sophie, In one lap? Is any one else as confused as I am?
Mathematics
high-school
Vineet Bhatia
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Vineet Bhatia
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it’s just the difference in circumferences, so it’d be
S = 2 Pi r
S = 2 * 3.14 * 30
S = 188.4m
I = 2 Pi r
I = 2 * 3.14 * (30 + 2)
I = 200.96m
I - S = 200.96 - 188.4
= 12.56m
Therefore, Isadora had to ride 12.56m more than Sophie
John Zhao
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Nov 22, 2021
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John Zhao
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