Question

The circumference of two circles are in the ratio 1:3. Find the ratio of their areas​

Answer 1

Answer:

1:9

Step-by-step explanation:

We know that Circumference = 2π × radius

Which means circumference is directly proportional to radius

As,  circumference ratio is 1:3, radius ratio will also be 1:3

Now, Radius of 1st circle is x, then 2nd circle is 3x

Area = πr²

Area is directly proportional to radius²

Hence A₁ : A₂ = R₁² : R₂²

A₁ : A₂ = x² : 9x²

A₁ : A₂ = 1: 9

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