Question

the radius of a circle is double the radius of another circle then what is the ratio of their areas​

Answer 1

Answer:

Step-by-step explanation:

radius of circle 1 = r

radius of circle 2=2r

area of circle 1=πr²

therefore area of circle 2=π(2r)²

                                         =4πr²

therefore ratio of the areas of both circles=πr²/4πr²

                                                                      = 1/4

                                                                      =1:4

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Answer 2

Answer:

Ratio=4:1

Step-by-step explanation:

Radius of first circle=r

Area=pi r^2

Radius of second circle=R

Area=pi R^2

r=2R

Therefore area of first circle=pi (2R)^2

=pi 4 R^2

Ratio of area of first circle to area of second circle=(pi 4 R^2)/(pi R^2)

=4/1

Ratio=4:1