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16 strands of rope lights

Step-by-step explanation:

Well, we're going to need to translate this so we're using the same units. There are 12 inches in a foot, so (24.2ft * 12 in/ft = 290.4 inch diameter)

The diameter is the total length from on inner edge of the circle, straight across to the other. To find how many strands of lights Ben will need, we must find the circumference first. The formula for this is c = π*d. (3.14 * 290.4in = 911.86 in)

In order to line the entire circumference of the patio with rope lights, we will need 911.86 inches of lights. Each strand is 57 inches long, so to find the total number of strands needed, we must find (911.86 / 57 = 15.997) 15.997, or 16 strands of rope lights are needed.

Good luck!!