Question

The area of 2 circles are in the ratio 25:36 find the ratios of their circumference
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Answer 1

$\huge\bold\red{NAMASTE}$

Let the radii of the two circles be and respectively. 

Finding the areas of the two circles

Area of the circle with radius =

Area of the circle with radius =

Finding the circumferences of the two circles

Circumference of the circle with radius =

Circumference of the circle with radius =

Now, it is given in the question that the ratio between the areas of the two circles is . 

∴

⇒

⇒

⇒

⇒                            ...(1)

Now, the ratio between the circumferences of the two circles should be . 

Now, 

                                               [ Using (1) ]

∴ The ratio between the circumferences of the two circles is . 

Hope this may help you. 

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Answer 2

hope this will help u