Two identical semi-circles, having a radius of 4 cm., are inscribed in a big semi-circle that has a radius equal to twice of that of the idential semi-circles. (or 2x4 cm.) The centers of the three semi-circles are collinear. If a smaller circle is placed such that it will be tangent internally to the big semi-circle and tangent externally to the two semi-circles, find the area (cm^2) enclosed by the biggest semi-circle but outside of the two semi-circles and the circle. Round off to three decimal places. Ans: 27.925

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18. Two identical semi-circles, having a radius of 4 cm., are inscribed in a big semi-circle that has a radius equal to twice of that of the idential semi-circles. (or 2x4 cm.) The centers of the three semi-circles are collinear. If a smaller circle is placed such that it will be tangent internally to the big semi-circle and tangent externally to the two semi-circles, find the area (cm^2) enclosed by the biggest semi-circle but outside of the two semi-circles and the circle. Round off to three decimal places.

Ans: 27.925

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