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# Geometry Warmups

Mathematics is filled with shapes that are kaleidoscopic in variety. Wielded since ancient times, the power of geometry helps us examine and measure these shapes.

Find radius of the circle. Give your answer to 3 decimal places.

Find the area (in \(\text{cm}^2\)) of the shaded green square in the blue right triangle.

\[ \tan6^{\circ} \times \tan42^{\circ} \times \tan66^{\circ} \times \tan78^{\circ}=\, ?\]

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