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The Sydney Opera House
Transcript of The Sydney Opera House
Did You Know?
It took 16 years to build
Mathematics of the Sydney Opera House
The mathematics is found in this building from parabolas, squares, rectangles, triangles and trapezoids.
The Graphed Parabola
The design was chosen from a competition
The roof was produced by cutting a three sided segment from a sphere
It was first opened to Queen Elizabeth
The equations are x^2 = -4ay, l*w, l*w, 1/2b*h and 1/2(a+b)h respectively
Squares and Triangles
Rectangles and Trapezoids
Trapezoids-- 1/2 (a+b)h
Formula of the parabola including figures