Question

a round swimming pool has a circumference of 66 feet. Carlos wants to buy a rope to put across the diameter of the pool. the rope costs $0.45 per foot, and Carlos needs 4 more than the diameter of the pool. How much will Carlos pay for the rope and what is the diameter? (please show work on paper)

Answer 1

• $11.25
• 21 ft

Explanation:

The formula for the circumference of a circle in terms of diameter is ...

C = πd

Then the diameter is ...

d = C/π

If we use π ≈ 22/7 and C = 66 ft, then we find the diameter to be ...

d = (66 ft)/(22/7) = (66 ft)(7/22) = 21 ft

The diameter of the pool is about 21 feet.

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Since Carlos needs 4 more feet of rope, he will want to buy 25 feet of rope for a cost of ...

(25 ft)($0.45 /ft) = $11.25

Carlos will pay $11.25 for the rope.