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Answer

a. Total circumference
    = 2π x AP + 2π x AQ
    = 2π x (AP + AQ)
    = 2π x 10
    = 62.8 cm (note: this is 20π)


b. Note that the green and blue arcs are semi-circles.
   So we can join them to form 2 circles, with
   diameters AP (green) and AQ (blue) respectively.
   Their circumference = π x AP + π x AQ = π x (AP + PQ) = 10π.

   The red and orange arcs are 1/5 of total circumference
   found in Part a. So they are 1/5 x 20π = 4π.

   Therefore total perimeter = 10π + 4π = 14π = 43.96cm.

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1 Reply 1 Like ✔Accepted Answer

Thanks for the help! 

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