Math, asked by nagendra1097654321, 9 months ago

The circumference of 2 circles are in the ratio of 2:3.find ratio of their area

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Answered by Anonymous
2

Answer:

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Answered by Anonymous
1

Answer:

4/9

Step-by-step explanation:

circumference of a circle = 2πr

Area of a circle = πr^2

Let the radii of the two given circles be 'r' and 'R'.

Given, 2πr/ 2πR = 2/3

By cancelling 2π in numerator and denominator, we get,

r/R = 2/3

By squaring on both sides,

r^2/ R^2 = 4/9

Multiply the numerator and denominator of LHS by π, to make an equivalent fraction and get it in the form of area formula, i.e., πr^2.

Hence, πr^2/ πR^2 = 4/9

So, the ratio of areas of circles = 4/9

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