SOLUTION: A circular field contains 10 acres. Determine length of fence to enclose the field.
Area of circle; pi * r^2.
Circumference of circle; pi * diameter.
Acre = 43560 sq. ft.
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Question 1089642: A circular field contains 10 acres. Determine length of fence to enclose the field.
Area of circle; pi * r^2.
Circumference of circle; pi * diameter.
Acre = 43560 sq. ft.
Not sure how to proceed. Non-homework.
Found 2 solutions by josgarithmetic, jim_thompson5910:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
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Fence length for perimeter (circumference), .
Compute or simplify.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
note how the "acres" units cancel.
There are 435600 sq ft in 10 acres
The area of the circular field is 435600 square feet
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Use this area value to find the radius
Area of circle = pi*(radius)^2
A = pi*r^2
435600 = pi*r^2
435600/pi = (pi*r^2)/pi
435600/pi = r^2
r^2 = 435600/pi
sqrt(r^2) = sqrt(435600/pi)
r = 372.365125 ... use a calculator for this step
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The radius of the circle is approximately 372.365125 feet
Now that we know the radius, we can compute the circumference C
C = 2*pi*r
C = 2*pi*372.365125
C = 2,339.639082 ... use a calculator for this step
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You'll need roughly 2,339.639082 feet of fencing
Rounded to the nearest whole number, you'll need 2,340 feet of fencing
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