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A round cake has a diameter of 30cm. Angela places the cake on a circular cake board with a diameter 5cm longer than that of the cake. What is the circumference of the cake board? Give your answer in terms of pi. +_(+x)Cm

A round cake has a diameter of 30 cm 30 \mathrm{~cm} . Angela places the cake on a circular cake board with a diameter 5 cm 5 \mathrm{~cm} longer than that of the cake.\newlineWhat is the circumference of the cake board?\newlineGive your answer in terms of π \pi .\newline□\square cm\mathrm{cm}

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Full solution

Q. A round cake has a diameter of 30 cm 30 \mathrm{~cm} . Angela places the cake on a circular cake board with a diameter 5 cm 5 \mathrm{~cm} longer than that of the cake.\newlineWhat is the circumference of the cake board?\newlineGive your answer in terms of π \pi .\newline□\square cm\mathrm{cm}
  1. Calculate Cake Board Diameter: The cake's diameter is 30 cm30\,\text{cm}, so the cake board's diameter is 30 cm+5 cm30\,\text{cm} + 5\,\text{cm}.\newlineCalculation: 30+5=35 cm30 + 5 = 35\,\text{cm}.
  2. Calculate Circumference Formula: The formula for the circumference of a circle is C=πdC = \pi d, where dd is the diameter.\newlineCalculation: C=π×35C = \pi \times 35.
  3. Calculate Cake Board Circumference: So, the circumference of the cake board is 35π35\pi cm.

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