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IMAS 2018 Junior Round 1 Question 14

IMAS · IMAS 2018 Junior Round 1

Question 14

In the figure below, the eight line-segments drawn are all equal to 1 m and the three dotted lines are all quarter arcs. What the is difference, in m, between the total length of all the line segments and total length of all the dotted arcs? (Use $\pi=3.14$)

Question illustration
  1. 0.28
  2. 0.72
  3. 1.28
  4. 1.72
  5. 4.86