Question
The ratio of the two areas of two circles is4/9 find the ratio of their radii
Answers
GPT 3.5
Let the radii of the two circles be r1 and r2.
The ratio of their areas can be expressed as:
(area of circle 1) / (area of circle 2) = (πr1^2) / (πr2^2) = 4/9
This simplifies to:
(r1^2) / (r2^2) = 4/9
Taking the square root of both sides, we get:
(r1 / r2) = 2/3
Therefore, the ratio of their radii is 2/3.
The ratio of their areas can be expressed as:
(area of circle 1) / (area of circle 2) = (πr1^2) / (πr2^2) = 4/9
This simplifies to:
(r1^2) / (r2^2) = 4/9
Taking the square root of both sides, we get:
(r1 / r2) = 2/3
Therefore, the ratio of their radii is 2/3.