Math, asked by sonakshitebriwal, 4 months ago

A gold wire is in the form of rectangle whose lenght and breath 30 and 20 cm respecteively. It is reband
in the form of circle. Find the
radius of circle.​

Answers

Answered by avniverma75
0

Answer:

When wire is in the form of rectangle-

Length of rectangle (l)=40cm

Breadth of rectangle (b)=26cm

Perimeter of rectangle =2(l+b)

⇒ Perimeter of rectangle =2(40+26)=132cm

Area enclosed by the rectangle (A

1

)=l×b

⇒A

1

=40×26=1040cm

2

When the wire is in the form of circle-

Perimeter of circle will be equal to perimeter of rectangle.

∴ Perimeter of circle =132 cm

⇒2πr=132

⇒r=

2

132

×

22

7

=21cm

Thus the radius of circle is $421 \; cm$$

Now,

Area enclosed by the circle (A

2

)=πr

2

⇒A

2

=

7

22

×(21)

2

=1386cm

2

∵A

2

>A

1

∴A

2

−A

1

=1386−1040=346cm

2

Hence the circle encloses more area than rectangle by 346cm

2

.

Answered by jaya85752
0

Answer:

Correct answer

Step-by-step explanation:

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