# 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

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”

• 285.8cm² is the area of remaining sheet

## Given:

• Length is 20cm

## Tofind:

• 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,

》r = 20/2

》r = 10cm

Now we have to find the area of circle

As we know that,

• Area of circle = πr²

》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

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

.