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 answers.

The first thing we should do, it put both measurements into the same unit. I will use feet.

To convert meters to feet, we can use the formula: 1 m = 3.28 ft

so, we multiply both sides by 7.5

7.5 m = 24.6 ft

The diameter of pool B is 24.6 ft

The radius of pool A is 12 ft. To get diameter, simply multiply it by 2.

12 ft * 2 = 24 ft

The diameter of pool A is 24 ft

Now that we know diameter, we can get the circumference

The equation for circumference is c = 2πr or c = πd

We have the diameter, so we will use the second one.

Plug in D in both equations, and we get 24π ft for pool A, and 24.4 π ft for pool B

In decimals, it is approximately 75.398 ft for pool A and 76.655 ft for pool B

In this case, we see that pool B is bigger, by 0.4 π ft, or 1.2566 ft

1 ft is equivalent to 0.3048 m

swimming pool A radius is 12 feet

it's circumference is 22/7 x 24 feet = 75.43 feets

pool B circumference is 22/7 x 7.5 m = 23.57 m

in terms of meters pool A is 75.34x 0.3048=22.964 m

so pool B circumference is greater than pool A by 0.606 m