Question

small circle is shaded inside a long a circle if the area of the smaller circle is half and the area of the larger the ratio of the radii of the smaller Circle to that of the large

options are

A - 1/2
B - 1/4
C - 1 / root 2
D - π / route 2

and the fig is attached above


please give me the right option for this Question

if u give me the right answer I can give u a like and make u a brainlist ​

Answer 1

Answer:

A- 1/2 these in the right option A

Answer 2

Answer:

The ratio of the radii of smaller circle to that of larger circle is 1/√2.

Step-by-step explanation:

Let the Radius of smaller circle is "r".

So the area of the smaller circle will be π(radius)²=πr²

Let the Radius of the larger circle is "R".

So the area of the larger circle will be π(radius)²=πR².

In question it is given that, the area of the smaller circle is half of the area of larger circle.

That means,

area of smaller circle=1/2 area of larger circle

area of smaller circle=1/2 area of larger circleπr²=1/2 πR²

area of smaller circle=1/2 area of larger circleπr²=1/2 πR²r²=1/2 R²

area of smaller circle=1/2 area of larger circleπr²=1/2 πR²r²=1/2 R²r²/R²=1/2

area of smaller circle=1/2 area of larger circleπr²=1/2 πR²r²=1/2 R²r²/R²=1/2r/R=√1/2

area of smaller circle=1/2 area of larger circleπr²=1/2 πR²r²=1/2 R²r²/R²=1/2r/R=√1/2r/R=1/√2

Conclusion:

Ratio of smaller circle to that of larger circle is

1/√2 .