A field is 90m x 45m, next to a circular lake, 20m across. For training, the coach says your team can either run around the lake 3 times or run along 2 sides of the pitch and then back along the diagonal. Which run is the shortest?

C=2pir C=10pi2 = 20pi = 62.83185 62.83185 * 3= 188.5m z= root(90^2 + 45^2) = 100.62 l=100.62+90+45 = 235.6 m They should run around the lake.

Answered by Orla K. Maths tutor

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