Question

Consider two circular swimming pools. Pool A has a radius of 22 feet, and Pool B has a diameter of 13.6 meters. Complete the description for which pool has a greater circumference. Round to the nearest hundredth for each circumference. 1 foot ≈ 0.305 meters

The diameter of Pool A is ...
meters. So, the diameter of Pool... is greater, and the circumference is... by...
meters.

Answer 1

Answers:

13 42 m; B; 0.57 m

Explanation:

Data:

Pool A: r = 22 ft

Pool B: D = 13.6 m

Calculations:

1. Radius of Pool A

r = 22 ft × (0.305 m/1 ft) = 6.71 m

2. Diameter of Pool A

D =2r = 2 × 6.71 = 13.42 m

The diameter of Pool A is 13.42 m.

3. Compare pool diameters

The diameter of Pool B is 13.6 m.

So, the diameter of Pool B is greater.

4. Compare circumferences

The formula for the circumference of a circle is

C = 2πr or C = πD

Pool A: C = 2π × 6.71 = 42.16 m

Pool B: r = π × 13.6 = 42.73 m

Pool B - Pool A = 42.73 - 42.16 = 0.57 m

The circumference is greater by 0.57 m.