from a rectangular metal sheet of size20 cm by 30, a circular sheet as big as possible is cut. find the area of remaining sheet

2 thoughts on “from a rectangular metal sheet of size20 cm by 30, a circular sheet as big as possible is cut. find the area of remaining sheet”

1. Answer :

   • 285.8cm² is the area of remaining sheet

   Given :

   • Length is 20cm
   • Breadth is 30cm

   To find :

   • Area of remaining sheet

   Solution :

   Given,

   • Length of rectangular metal sheet is 20cm
   • Breadth of rectangular metal sheet is 30cm

   Diameter of circle is 20cm

   As we know that,

   • Radius = D/2

   》r = 20/2

   》r = 10cm

   Radius is 10cm

   Now we have to find the area of circle

   As we know that,

   • Area of circle = πr²

   Where, r is radius

   》Area of circle = πr²

   》22/7 × 10 × 10

   》2200/7

   》314.2cm²

   Now Area of rectangular sheet :

   • Area of rectangular sheet = l × b

   Where , l is length 20cm and b is breadth 30cm

   》20 × 30

   》600cm

   Now , We have to find the area of remaining sheet :

   • Area of remaining sheet = Area of circle- Area of rectangular sheet

   》Area of remaining sheet = 314.2 – 600

   》485.2cm²

   Hence ,285.8cm² is the area of remaining sheet

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2. Answer:

   Diameter of largest circle=length of the smallest side of rectangle

   Area of rectangle=l×b=30×20=600cm

   2

   Area of circle=πr

   2

   =π(

   2

   d

   )

   2

   =π×(

   2

   20

   )

   2

   =314.16cm

   2

   Remaining area=600−314.16=285.84cm

   2

   .

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