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Geometry Problem 453: Intersecting Circles, Tangent, Circular Segment, Congruence, Area
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The figure shows the intersecting circles O
and O' at A and B. Line CO is tangent to circle O' at O, lines CDA and
CO' are chords of circle O. Prove that the circular segments S and S'
are congruent.
A circular segment is an area of a
circle enclosed between a chord and the arc whose endpoints equal the
chord's.
![Intersecting circles](p453_intersecting_circles.gif)
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More Problems:
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![Triangle, Incircle, Inradius](../education/p454_triangle_incircle_1.jpg) |
Proposed Problem 454.
Triangle, Incircle, Inradius, Tangent, Circle, Radius. |
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![Triangle, Circle, Tangent](../education/p452_triangle_circle_1.jpg) |
Proposed Problem 452.
Triangle, Circle, Tangent, Proportional Segments. |
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![Triangle, median](../education/p451_triangle_median_1.jpg) |
Proposed Problem 451.
Triangle, Median, Congruence, Proportional Segments. |
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![Triangle, Median, Cevian](../problem/p450_triangle_median_1.jpg) |
Proposed Problem 450.
Triangle, Median, Cevian, Congruence, Proportional Segments. |
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![Online education degree: online geometry classes](../problem/geometry_problems_17.jpg)
![Collinear Points Index](../geometry/collinear_points_index.jpg) |
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