Lune of Hippocrates

Geometry Problem 825: Unlock the Wonders of Circle Geometry: Mastering Chords, Sectors, and Areas for High School and College Mathematics Education

The figure below displays a semicircle O with a diameter AB = 12 units. Arc AC measures 135 degrees, and point D is the midpoint of arc AC. Determine the shaded area that is enclosed by CD, BD, and arc BC.
 

Problem 825: Circle, Semicircle, Arc, Chord, Midpoint, Sector, Triangle, Area

Problem 825
Inscribed shapes dance,
Arcs and chords find symmetry,
Geometry speaks.
Circle and chord dance,
Midpoint splits the line in two,
Geometry art.
 

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