A​ ​piece​ ​of​ ​rope​ ​94.2​ ​inches​ ​long​ ​will​ ​enclose​ ​a​ ​circular​ ​child’s​ ​wading pool. What​ ​is​ ​the​ ​diameter​ ​of​ ​the​ ​pool?

Respuesta :

94.2/pi = 29.98 or 39

Answer:

29.98 inches.

Step-by-step explanation:

The length of the rope that enclose the circular child's wading pool = 94.2 inches.

Let r be the radius of the circular pool.

Hence, length of the rope should be equal to the circumference of the circular pool.

[tex]2\pi r=94.2\\\\2r=\frac{94.2}{\pi}[/tex]

Diameter is twice of radius. Thus, we have

[tex]\text{Diameter}=\frac{94.2}{\pi}\\\\\text{Diameter}=29.98\text{ inches}[/tex]

Thus, the diameter of pool is 29.98 inches.

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