Question

The circumference of two circles is in the ratio 2: 3. What will be the ratio of their areas?​

Answer 1

Answer:

Answer

Correct option is

A

4:9

Let the radii of two circles be r

1

and r

2

.

Then, according to question, we have

2πr

2

2πr

1

=

3

2

⇒

r

2

r

1

=

3

2

Squaring both the sides, we get,

r

2

2

r

1

2

=

9

4

⇒

πr

2

2

πr

1

2

=

9

4

So, the ratio of the areas of two circles is 4:9