Mathematics · Geometry

Four identical circles of radius 1 cm are placed such that each circle touches two other circles externally. Find the area of the region enclosed between these four circles.

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1(4 - 2π) cm 2
2(5 - √3π) cm 2
3(2 - √3π) cm 2
4(4 - π) cm 2✓

Correct answer

(4 - π) cm 2

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Four identical circles of radius 1 cm are placed such that each circle touches two other circles externally. Find the area of the region enclosed between these four circles.

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Four identical circles of radius 1 cm are placed such that each circle touches two other circles externally. Find the area of the region enclosed between these four circles.

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