Question

The circumference of a circle is 12 m greater than the perimeter of a square if the ratio of the diameter of the circle is to the length of the square is 4 :3, find the area of the square?

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Answer 1

Answer:

Let the radius of the circle ber.

∴ Area of Circle= πr

2

.

and the circumference=2πr

The perimeter of the square is equal to circumference of circle.

∴ Its one side =

4

1

×2πr=

2

πr

.

So Area of Square =(

2

πr

)

2

.

∴

AreaOfSquare

AreaOfcircle

=πr

2

:(

2

πr

)

2

=

π

4

=

22

4×7

=

11

14

>1.

So, Area of Circle > Area of Square

Step-by-step explanation:

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