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.

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Answer:Given:Tofind:Solution:Given,

Diameter of circle is 20cm

As we know that,

》r = 20/2

》r = 10cm

Radiusis10cmNow we have to find the area of circle

As we know that,

Where, r is radius

》Area of circle = πr²

》22/7 × 10 × 10

》2200/7

》314.2cm²

Now Area of rectangular sheet :

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

》20 × 30

》600cm

Now,Wehavetofindtheareaofremainingsheet:》Area of remaining sheet = 314.2 – 600

》485.2cm²

Hence,285.8cm²istheareaofremainingsheetAnswer: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

.