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Mathematics : asked on nahdia1205
 19.02.2021

At a certain pizza restaurant, a family-size pizza has a diameter of 21 inches. A large pizza has a diameter of 18 inches. How much larger is the circumference of a family-sized pizza than the circumference of a large pizza?
At a certain pizza restaurant, a family-size pizza has a diameter of 21 inches. A large pizza has a diameter of 18 inches. How much larger is the circumference of a family-sized pizza than the circumference of a large pizza?

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16.05.2023, solved by verified expert
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Nitin Arora
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Mathematics, English, Physics. Research Scholar at Indian Institute of Technology, Roorkee
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Answer:

9.42 inches

Step-by-step explanation:

The circumference of a circle can be calculated using the formula C = πd, where C represents the circumference and d represents the diameter of the circle.

For the family-sized pizza with a diameter of 21 inches, its circumference would be: C_family = π * 21 = 21π inches.

For the large pizza with a diameter of 18 inches, its circumference would be: C_large = π * 18 = 18π inches.

To find the difference in circumference between the family-sized pizza and the large pizza, we subtract the circumference of the large pizza from the circumference of the family-sized pizza: 

Difference = C_family - C_large = 21π - 18π = 3π inches = 3 x 3.14 inches  = 9.42 inches

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