Question
Answer: Option C
:
C
Suppose the coins have radii Rand r.
The centres of the coins and the point where they touch divide the diagonal into four line segments with lengths R√2, R, r, r√2.
Since the diagonal has length √2, it follows that (R + r) (√2 + 1) = √2,
So R + r = √2√2+1 = (2 - √2)
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:
C
Suppose the coins have radii Rand r.
The centres of the coins and the point where they touch divide the diagonal into four line segments with lengths R√2, R, r, r√2.
Since the diagonal has length √2, it follows that (R + r) (√2 + 1) = √2,
So R + r = √2√2+1 = (2 - √2)
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