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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