The total area covered by the red circles is . What is the area of the large square? (All circles are congruent and tangent to each other or to the side of the side of the square.)
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The area of the five circles is 2 0 π , thus the area of one circle is 4 π = π × r 2 ⟹ r 2 = 4 ⟹ d = 4 .
The measure of the side of the square is 4 × 3 = 1 2 ⟹ s 2 = 1 4 4 which is the area of the square.