If the radius of each of four outer circles is \(r\), then the radius of the innermost circle is
Question and options
If the radius of each of four outer circles is , then the radius of the innermost circle is
Answer and explanation
Correct answer: C - \((\sqrt{2}-1) r\)
The centres of the outer circles form a square of side 2r, with diagonal 2sqrt(2) r. Centre to outer centre = sqrt(2) r, so the inner radius = sqrt(2) r - r = (sqrt(2)-1) r.
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