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Geometry Problem 458: Square, Semicircle, Circular Sector, Internal Common Tangent, Measurement
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The figure shows a square ABCD of side a.
The semicircle of diameter AB and the circular sector of center D are
tangent at E. If FG is the internal common tangent, prove that
.
See also:
Artwork of Problem
458.
![Problem 458: Square, Semicircle, Circular Sector, common tangent](p458_square_circle.gif)
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More Problems:
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![Artwork problem 458, iPad app](../software/sketch/p458-geometry-art-software-ipad-square-circle-1.jpg) |
Problem 458, Artwork. PicSketch for iPhone and iPad, Photo Filter Effects
Triangle and altitudes. |
![Right triangle, Squares](../education/p459_right_triangle_square_.jpg) |
Proposed Problem 459.
Right triangle, Squares, Distance, Measurement. |
![Triangle Brocard point](../education/p457_triangle_brocard_1.jpg) |
Proposed Problem 457.
Triangle, First Brocard Point, Congruent angles, Circle, Circumradius. |
![Three tangent circles](../education/p456_tangent_circles_1.jpg) |
Proposed Problem 456.
Three tangent circles, Center, Chord, Secant, Collinear. |
![Rhombus, Circle](../education/p455_rhombus_circle_1.jpg) |
Proposed Problem 455.
Rhombus, Inscribed Circle, Angle, Chord, 45 Degrees. |
![Online education degree: online geometry classes](../problem/geometry_problems_17.jpg)
![Collinear Points Index](../geometry/collinear_points_index.jpg) |
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