Respuesta :

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