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What is the radius of a 3/4 acre circle (in feet)

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  • Carrie Sawyer
    Carrie Sawyer Jun 26, 2018

    Mike basically figured out the entire thing. If you don't use exact numbers and round instead, it makes the math easier. If you take 3/4 of the total area of an acre (43560 sq ft), you come up with approximately 32,670 square feet. Doesn't matter if those 32,670 feet are in a square shape or a circular shape.

    In general, to determine the area of a circle, you multiple pi times the radius squared. So basically, you need to solve for the radius using the equation 32,670= ? * r² . If you do the math, r (the radius) is about 100'. Technically, it's slightly over that. This means the diameter would be double that, or about 200 feet. Essentially 100' in any direction from your center point. Hope that helps!

  • Claude Shene
    Claude Shene Mar 09, 2019

    One Acre contains 43,560 sq ft, so 3/4 acre would be: 43,560 sq ft * 0.75 = 32,670 sq ft



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32,670 sq ft

Posted on Mar 09, 2019


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Oh wow, lots of math going on here...

There are 4840 square yards in an acre and 9 square feet in a square yard (4840 x 9 = 43,560).

An acre is an old timers measurement used in agriculture...
it was 4 poles wide and 40 poles long. A pole is equivalent to sixteen and a half feet. So back then, an acre was a piece of farming land 660 feet long (220 yards or one eighth of a mile) and 66 feet wide (22 yards or one eightieth of a mile).

Acre is a measure of area, which would be square feet.

Feet are a measure of distance.

The best you could do is something like this:
An acre is 43, 560 square feet.
Draw/imagine a square or a rectangle that would cover that much area.

If it is a square, it would be (approximately) 208.7 feet on each side.

Its perimeter (the distance around it if you walk an imaginary fence around you acre-sized plot) would be 834.8 feet.

Trying to to figure out an acre of 'Circle' - hmmmmm???

Radius = 1/2 of Diameter

sorry, just can't wrap my head around this to come up with the correct equation.
maybe we can get lucky with some other brainiac taking what I did provide and come up with a solution for you?

Square - It would be 208.7 feet across if you walk across it, and the same if you walk the other way across it.

Posted on Apr 11, 2015


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