Mathematics · Geometry
Four identical outer circles, each of radius 'r', are arranged such that each touches two others externally. What is the radius of the small inner circle that touches all four outer circles?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 12 (√2 + 1)r
- 21 √2 r
- 3(√2 - 1)r✓
- 4√2 r
Correct answer
(√2 - 1)r
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