A circular jacuzzi is surrounded by a circular deck. The radius of the jacuzzi is n - 3 and the radius of the full circle formed by the deck is n + 3. Write a polynomial that represents the area of just the deck itself, not including the space covered by the jacuzzi.

Question

Alannah Hughes

Mathematics

18 February, 07:02

A circular jacuzzi is surrounded by a circular deck. The radius of the jacuzzi is n - 3 and the radius of the full circle formed by the deck is n + 3. Write a polynomial that represents the area of just the deck itself, not including the space covered by the jacuzzi.

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Answers (1)

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Anabella Terrell · Answer 1

Area of circle=pir^2

jacuzzi=pi (n-3) ^2=pi (n²-6n+9)

deck=pi (n+3) ²=pi (n²+6n+9)

deck-jacuzzi=what we need

pi (n²+6n+9) - pi (n²-6n+9)

pi (n²+6n+9-n²+6n-9)

pi (12n)

12npi is the area of jaccuzi not including deck