Question

if the circumference of a circle and the perimeter of a square are equal then <br />a) area of the circle = area of the square <br />b) area of the circle > area of the square <br />c) area of the circle < area of the square <br />d) nothing definite can be said about the relation between the areas of the circle and Square ​

Answer 1

Step-by-step explanation:

follow me for the right answer ok bye

Answer 2

Step-by-step explanation:

Let the radius of the circle be

r.

r.

\therefore

∴

Area of Circle=

\pi { r }^{ 2 }

πr

2

.

and the circumference=

2 \pi r

2πr

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

\therefore

∴

Its one side

=\frac { 1 }{ 4 } \times 2\pi r=\frac { \pi r }{ 2 }

=

4

1

×2πr=

2

πr

.

So Area of Square

={ \left( \frac { \pi r }{ 2 } \right) }^{ 2 }.

=(

2

πr

)

2

.

\therefore \cfrac{Area Of circle}{Area Of Square} =\pi { r }^{ 2 }:{ \left( \frac { \pi r }{ 2 } \right) }^{ 2 }=\frac { 4 }{ \pi } =\frac { 4\times 7 }{ 22 } =\frac { 14 }{ 11 } >1.

∴

AreaOfSquare

AreaOfcircle

=πr

2

:(

2

πr

)

2

=

π

4

=

22

4×7

=

11

14

>1.

So, Area of Circle

>

>

Area of Square