Question

QUESTION ==>

The areas of two circles are in the ratio 4 : 9.

Find the Ratio of the Circumferences.

Answer 1

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⭐⭐⭐⭐⭐ ANSWER ⭐⭐⭐⭐⭐
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Let the radius of one circle be "r" and another circle be "R".

Then, given that the ratio of their respective areas is 4 : 9.

So, πr² : πR² = 4:9

=> (r/R)² = 4/9

=> r/R = 2/3

=> r : R = 2 : 3

Now, let the radius of first circle be 2x and the second circle be 3x.

So, the ratio of their circumferences will be :

2πr : 2πR

=> r : R (since, 2π are getting cancelled from both sides)

=> 2x : 3x (putting the values of r and R)

=> 2 : 3 (since, x are getting cancelled from both sides)

So, the ratio of their circumferences will be 2:3


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✌✌ MUST TO REMEMBER ✌✌

⏩ Area of a circle is determined by the formula "πr²" (where π is 22/7 and r is the radius of that circle).

⏩ Perimeter or circumference of a circle is determined by the formula "2πr" (where π is 22/7 and r is the radius of that circle).


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⭐⭐⭐ ALWAYS BE BRAINLY ⭐⭐⭐

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Answer 2

Answer:

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