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?

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14-11-2020
Mathematics

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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?

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rohleom rohleom · Answer 1 · 2020-11-14T12:44:05+01:00

rohleom rohleom

14-11-2020

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

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