Respuesta :

Answer:

r = 67.70 feet

Step-by-step explanation:

Area of circle, A = πr²

where r is the radius and π = 3.142

A = πr²

r² = A / π

r = √(A / π)

r = √(14400 / 3.1042)

r = √(4583.66)

r = 67.70 feet

The radius of the given field can be calculated from the formula of the area of circle. For the given field, its radius is 67.7 ft

Given that:

  • The area of the circular field = 14400 sq feet

To find:

radius of that circular field.

Calculations:

Area of a circle with radius r is given as: [tex]\pi r^2[/tex]

Let the given field have got radius of r feet. Then we have:

[tex]Area = \pi r^2\\14400 = \pi r^2\\\\r =\sqrt{\dfrac{14400}{\pi}}\\\\r = 67.7 \: \rm ft.[/tex]

Thus, the radius of the given field is 67.7 ft.

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