with the diagram given, we are to find the approximate area that is within the range of the motion sensor.
To get the approximate area, we use the area of a sector formula:
Area = N/360 (πr²)
N = 135˚
π = 3.14
r = 65 meters
inputting into the formula:
Area = 135 (3.14)(65)²
360
Area = 0.375 * 3.14 * 4225
Area = 4,974.9 m²