Some irragation spray water in a circular pattern. you can adjust the nozzle to spray in certain directions. the nozzle in my diagram is set so it does not spray on the house. if the spray has a radius of 12 feet what is the approximate length of the arc that the spray creates?
To find the length of the arc created by the irrigation spray, we need to know the measure of the angle that the arc subtends at the center of the circle. Without this information, we cannot determine the exact length of the arc.
However, considering that the nozzle is set to avoid spraying the house, we can assume that the spray covers a full circle without any gaps. In a full circle, the central angle measures 360 degrees or 2π radians.
The circumference of a circle is given by the formula C = 2πr, where r is the radius. Substituting the given radius of 12 feet into the formula, we have C = 2π(12) = 24π feet.
Since the circle has a circumference of 24π feet, the approximate length of the full arc (360 degrees) would be the same, 24π feet.
Therefore, if the nozzle is adjusted to spray in all directions, the approximate length of the arc that the spray creates would be 24π feet.