Consider two circular swimming pools. Pool A has a radius of 12 feet, and Pool B has a diameter of 7.5 meters. Which pool has a greater circumference? How much greater? Justify your answer.

Pool a has a greater circumference because 12*2= `14
So, 14 equals the diameter.
7.5 is the diameter of pool b.
Multiply both by pi.
pool a equals 43.96
pool b equals 23.55.
Hope this helps! :)

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isyllus isyllus · Answer 2 · 2019-03-06T15:30:56-05:00

Answer:

Pool A is \(16.5\pi\text{ feet}\) greater than Pool B.

Step-by-step explanation:

Consider two circular swimming pools.

Formula: Circumference : \(=2\pi r\)

Pool A has a radius of 12 feet

Circumference of Pool A \(=2\pi \times 12 = 24\pi \text{ feet}\)

Pool B has a diameter of 7.5 meters

Circumference of Pool A \(=\pi \times 7.5 = 7.5\pi \text{ feet}\)

Pool A has greater circumference.

Difference of circumference \(=24\pi - 7.5\pi = 16.5\pi\text{ feet}\)

Hence, Pool A is \(16.5\pi\text{ feet}\) greater than Pool B.