Math, asked by Aadharshna, 9 days ago

If the perimeter of a circle is equal to that of a square, then the ratio of their area is a) 4:π b) π:4 c) 1:4 d) 1:2​

Answers

Answered by poonamsingh497
0

Step-by-step explanation:

Let the radius of the circle =r.

∴ Its circumference =2πr and Area =πr

2

.

It is given that circumference of circle is same as perimeter of square.

∴ Square's one side =

4

1

× cirumference of the given circle

=

4

1

×2πr=

2

πr

.

∴ Area of square =(

2

πr

)

2

.

So, Area of circle : Area of Square

=πr

2

:(

2

πr

)

2

=

π

4

=

7

22

4

=

11

14

Hope it helps you. Please mark it as the brainliest answer.

Answered by zelen
0

Answer:

Correct option is

B

14:11

Let the radius of the circle =r.

∴ Its circumference =2πr and Area =πr

2

.

It is given that circumference of circle is same as perimeter of square.

∴ Square's one side =

4

1

× cirumference of the given circle

=

4

1

×2πr=

2

πr

.

∴ Area of square =(

2

πr

)

2

.

So, Area of circle : Area of Square

=πr

2

:(

2

πr

)

2

=

π

4

=

7

22

4

=

11

14

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