Graph of a semi-circle with the diameter

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Rule for the semi-circle that describes the shape of the vertical cross section-section of the dome through its top. The only other information is the diameter which is 43.4m. The question relates to the Pantheon.

I got $y=\sqrt{21.7^2-x^2}$

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If you want an equation of the semi circle without diameter it's $$y=\sqrt{x(43.4-x)}.$$ An equation of the semi circle with diameter: $$y\left(y-\sqrt{x(43.4-x)}\right)=0.$$