Question

Radius of a circle is 3 M what will be the radius of a circle whose area is 9 times the area of the first circles

Answer 1

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Answer 2

This is a simple question based on the concept of Mensuration (Areas related to circle)

Radius of the first circle=3 m

Its area=πr²

=π3²

=9π m²

So, the first circle's area=9π m²

The second second circle has an area of 9 times the area of the first circle=(9×9π) m²

=81π m²

So, the radius of the second circle:-

=>πr²=81π

=>$\cancel{π}$r²=81$\cancel{π}$

=>r²=81

=>r=$\sqrt{81}$

=>r=9

So, the radius of the second circle would be 9 m.