Question

Ifa circle of radius r is inscribed ina square,

then the area of the square is :

(1) 4r2 (2) r2

(3) mr2 (4) 2r2

step by step explanation...plz...​

Answer 1

Step-by-step explanation:

We have,

(Refer image)

The area of the first square can be

calculated if side is known.

So, we have length of diagonal

2R=

2

a (a = side length)

⇒a=

2

R

and the radius of next circle

will be

2

a

=

2

R

and So on

thus the side length of every

inscribed square will be ,

2

1

times

the previous square's side length

So, the area will be

2

1

×

2

1

times

the previous square's area so

the sum will be,

S

n

=(

2

R)

2

+(

2

2

R

)

2

+(

4

2

R

)

2

+......(

2

n−1

2

R

)

n→∞

lim

S

n

=(

2

R)

2

⎣

⎢

⎢

⎡

1−

2

1

1

⎦

⎥

⎥

⎤

=2×2R

2

=4R

2

I HOPE ITS HELP YOU

Answer 2

Answer:

hey your answer is in attachment...

Step-by-step explanation:

Hope it helps!☺️