Question

if perimeter and circumference of a square and circle are equal and area of a square is 36 sq cm then area of a circle is​

Answer 1

Step-by-step explanation:

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

Answer 2

Answer:

181.46 cm²

Step-by-step explanation:

Area of square = 36 cm²

Side of the square = √36 cm = 6 cm

Perimeter of the square = ( 6 x 4 ) cm = 24 cm

Perimeter of the square = Circumference of circle

Circumference of circle = 24 cm

Radius of circle = (24/$\pi$) cm = 7.6 cm

Area of circle = $\pi r^2$ = ( 22/7 x 7.6 x 7.6 ) cm² = 181.46 cm²

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