I got are 36:1 (as areas), 6:1 (as circumferences), and 6:1 (as diameters), but the teacher puts the answers as 1:36, 1:6, and 1:6. Can both of the ways be correct? I mean the question does not say which radius comes first...so that’s why I put the radius with 6 times greater first.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.2: More Angle Measures In The Circle
Problem 37E: The larger circle is inscribed in a square with sides of length 4cm. The smaller circle is tangent...
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Don't have to show how to do because I already know. I just want to know that....the answers that I got are 36:1 (as areas), 6:1 (as circumferences), and 6:1 (as diameters), but the teacher puts the answers as 1:36, 1:6, and 1:6. Can both of the ways be correct? I mean the question does not say which radius comes first...so that’s why I put the radius with 6 times greater first.

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