Question

12. If the areas of two circles are in the ratio 100: 169, then what is the ratio of the radii of the circles?​

Answer 1

Step-by-step explanation:

10 : 13

as area of two circles based on radiii

100/169 - 10 square /13 square

Answer 2

The answer is 10: 13

GIVEN

The areas of two circles are in the ratio 100: 169.

TO FIND

The ratio of the radii of the circles.

SOLUTION

The above problem can be simply solved as follows;

Formula of area of circle = πr²

Let the radii of two circles be r₁ and r₂

Now,

Area of first circle : Area of second circle

= 100 : 169

Therefore,

100/169 = (πr₁²)/(πr₂²)

100/169 = r₁²/r₁²

r₁/r₂ = √(100)/√(169)

= 10/13

r₁ : r₂ = 10 : 13

Hence, The answer is 10: 13

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