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  3. Question 52
  • 2021 December(E23) Math Question 52

    Perimeter, Area, Volume

    - Triangles, Squares, Rectangles, Circles

    Arc Length, Perimeter of Circle
    Choice J
    52. A wire binds 4  identical posts together as shown below. Each post has a 3-inch radius. What is the length, to the nearest inch, of the shortest wire that will go around the 4 posts without overlap?

    Given that

    radius=r=3 in

    =>circumference of a circle=2πr=6π

    =>Length of an arc=6π4

    =>Length of 4 arcs=6π4×4=6π

    =>Length of 4 blue segments=6×4=24

    ∴Length=6π+24=6(3.14)+24=42.84≈43

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