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An ant is moving around a …

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An ant is moving around a few food pieces of different shapes scattered on the floor.For which food-pieces would the ant have to take a longer round?Remember circumference of the circle can be obtained by using the expression c=2×22÷7×r, where r is the radius of the circle.
  • 1 answers

Sia ? 6 years, 8 months ago

  1. Perimeter of the semicircle + Diameter of the circle
    = {tex}\pi (\frac{2.8}{2}){/tex} cm + 2.8 cm
    = {tex}\frac{22}{7} \times{/tex} 1.4 cm + 2.8 cm
    = 4.4 cm + 2.8 cm
    = 7.2 cm
  2. Perimeter of the 3 sides of rectangle + Perimeter of semicircle
    = 2.8 cm + 1.5 cm + 1.5 cm + {tex}\pi (\frac{2.8}{2}){/tex} cm 
    = 5.8 cm + {tex}\frac{22}{7} \times{/tex} 1.4 cm 
    = 5.8 cm + 4.4 cm
    = 10.2 cm
  3. Perimeter of semicircle + Perimeter of 2 sides of the triangle
    = 2 cm + 2 cm + {tex}\pi (\frac{2.8}{2}){/tex} cm 
    = 4 cm + {tex}\frac{22}{7} \times{/tex} 1.4 cm
    = 4 cm + 4.4 cm
    = 8.4 cm

Therefore, the ant would have to take a longer round for food pieces (b).

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