You might be looking for something like this:
http://www.amazon.com/Mace-80357-Wireless-Motion-Detector/dp/tech-data/B000WKPHK6
In fact if any one you know uses that Glade automatic air freshener you might be able to strip the motion detector that they have (not all models have this). I am not familiar with this particular sensor, so I don't know if it will have the range that you need. If you do use a PIR (Passive Infra Red) sensor, make sure that you keep the fresnel lens, or get one to go withthe barebone sensor. This lense helps in the detection process.
You can also use an ultrasonic rangefinder - like theone that Saturation recommends.
Truth be told, there isn't one detector that can work 360 degrees. Either you rotate the sensor using a turret or you have 2 or 3 sensors, each pointing outwards. Of course, since you are sensing motion within a circle 20 feet in diameter, the sensor can be outside this area. This way you can monitor the entire area inside the circle from the outside. Of course, I don't know if this scenario is acceptable since you did not provide much detail. Good luck with your project! Salvador
You might be looking for something like this:
http://www.amazon.com/Mace-80357-Wireless-Motion-Detector/dp/tech-data/B000WKPHK6
In fact if any one you know uses that Glade automatic air freshener you might be able to strip the motion detector that they have (not all models have this). I am not familiar with this particular sensor, so I don't know if it will have the range that you need. If you do use a PIR (Passive Infra Red) sensor, make sure that you keep the fresnel lens, or get one to go withthe barebone sensor. This lense helps in the detection process.
You can also use an ultrasonic rangefinder - like theone that Saturation recommends.
Truth be told, there isn't one detector that can work 360 degrees. Either you rotate the sensor using a turret or you have 2 or 3 sensors, each pointing outwards. Of course, since you are sensing motion within a circle 20 feet in diameter, the sensor can be outside this area. This way you can monitor the entire area inside the circle from the outside. Of course, I don't know if this scenario is acceptable since you did not provide much detail. Good luck with your project! Salvador