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Math Help - how to calculate number of antennas

  1. #1
    Member moonnightingale's Avatar
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    how to calculate number of antennas

    My company is having a area of 3 square kilometers. I want to install antennas for wifi where each antenna covers radius of 300 feet. How many total antennas will be required to cover whole area of 3 square kilometers . Each antenna pattern will overlap with other around 10 Percent. I just need approximate answer. i dont need exact calculation.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by moonnightingale View Post
    My company is having a area of 3 square kilometers. I want to install antennas for wifi where each antenna covers radius of 300 feet. How many total antennas will be required to cover whole area of 3 square kilometers . Each antenna pattern will overlap with other around 10 Percent. I just need approximate answer. i dont need exact calculation.
    An antenna with coverage radius of 300ft (~90m) will cover an area of of

    A \approx \pi \times 90^2  \text{m}^2 \approx 25500 \text{ m}^2

    So the number of stations with no overlap if that were possible would be:

    N=3000000/25500 \approx 118

    and allowing for 10% overlap will require appriximatly another 12 stations for a total of about 130 stations.

    (I doubt you can get away with as little wasted coverage as this in practice)

    CB
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  3. #3
    Member moonnightingale's Avatar
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    ok thanks capt black. i m always confused with square Km concept. If i say area of my rectangle is 4 square kilometer, does this mean that its sides are 2 km and 2 km

    am i rightt
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by moonnightingale View Post
    ok thanks capt black. i m always confused with square Km concept. If i say area of my rectangle is 4 square kilometer, does this mean that its sides are 2 km and 2 km

    am i rightt
    A square with area 4 sq km is 2km by 2 km.

    CB
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  5. #5
    Member moonnightingale's Avatar
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    why u have written 3000000,
    it should be 3000x 3000= 9000000

    plz clarify
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  6. #6
    Grand Panjandrum
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    Quote Originally Posted by moonnightingale View Post
    why u have written 3000000,
    it should be 3000x 3000= 9000000

    plz clarify
    3 sq km is 3 times a square km and a sq kn is one million square meters, so we want 3 million sq m.

    3 sq km is not that same thing as a 3 km square.

    CB
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