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
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
Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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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