SOLUTION: What is the ratio of the area of the
small inscribed circle to that of
the large inscribed circle?
https://media.discordapp.net/attachments/769181283913695264/826192164898734120
Question 1177804: What is the ratio of the area of the
small inscribed circle to that of
the large inscribed circle?
https://media.discordapp.net/attachments/769181283913695264/826192164898734120/ws0gUrHLy7CwgAAAABJRU5ErkJggg.png Found 2 solutions by MathLover1, ikleyn:Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
you have two right triangles with common leg, so they are similar and their sides are proportional
in ratio
so, their areas will be proportional in same ratio
therefore, the ratio of the area of the small inscribed circle to that of
the large inscribed circle ratio is Answer by ikleyn(52855) (Show Source): You can put this solution on YOUR website! .
The "solution" by @MathLover1 contains a FATAL ERROR.
For your safety , ignore her post.
I came to bring the correct solution.
You have two similar right triangles. The similarity coefficient is the ratio of their hypotenuses = .
THEREFORE, the ratio of the area of the small inscribed circle to that of
the large inscribed circle is = . ANSWER