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You need to carry a circular cake through a 32 inch wide door way without tilting it. The circumference of the cake is 100 inches. Will the cake fit through the door way? Explain.

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Answer:

Yes

Explanation:

To answer this we find the diameter of the cake. The formula for circumference as a function of diameter d is C =πd.

Here the circumference is 100 in. Thus, (100 in) / π is the diameter. This diameter is approximately 31.8 in. This is just 0.2 in smaller than the 32-in doorway. YES, the cake will pass through this doorway.

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