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

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NCERT Solutions for Class 8 Mathematics Chapter 11
Important NCERT Questions
Mensuration Chapter 8 Exercise 11
NCERT Books for Session 2022-2023
CBSE Board
Questions No: 5

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1 Answer

  1. (a) Radius = Diameter/2 = 2.8/2 = 1.4 cm
    Circumference of semi circle = πr=22/7×1.4=4.4 cm
    Total distance covered by the ant = Circumference of semi circle + Diameter
    = 4.4 + 2.8 = 7.2 cm

    (b) Diameter of semi circle = 2.8 cm
    ∴ Radius = Diameter/2 = 2.8/2 = 1.4 cm
    Circumference of semi circle = πr=22/7×1.4=4.4 cm
    Total distance covered by the ant = 1.5 + 2.8 + 1.5 + 4.4 = 10.2 cm

    (c) Diameter of semi circle = 2.8 cm
    ∴ Radius = Diameter/2 = 2.8/2 = 1.4 cm
    Circumference of semi circle = πr=22/7×1.4=4.4 cm

    Total distance covered by the ant = 2 + 2 + 4.4 = 8.4 cm
    Hence for figure (b) food piece, the ant would take a longer round.

    Class 8 Maths Chapter 11 Exercise 11.1 Solution in Video

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-8/maths/chapter-11/

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