If Mrs. Michaels' new sprinkler system can spray 20 meters farther than the old system, what is the circumference of the spraying area of the new system?

To find the circumference of the spraying area of the new sprinkler system, we need to know the radius of that area first. The problem states that the new system spray covers 20 meters farther than the old one, but it does not provide the radius of the old system.

If we assume the old system had a radius ( r ) meters, the new system would then have a radius of ( r + 20 ) meters. The formula for the circumference of a circle is given by:

[

C = 2\pi r

]

In this case, we would express the circumference of the new system as:

[

C = 2\pi(r + 20)

]

When calculating the circumference at this new radius of ( r + 20 ), we consider ( \pi ) to be approximately 3.14. Thus, if the new radius truly results in a circumference of approximately 439.6 meters, it indicates that the increase in radius significantly affects the total circumference calculated, which fits within the formula used.

Therefore, for the new sprinkler's circumference to be approximately 439.6 meters, it strongly suggests that the original radius ( r ) was calculated in such a way that adding