# Proof 4.30

The Salinon (p. 98)

a. The diagram above is a Salinon as described in the text.
b. The area of a circle can be determined by where r is the radius of the circle. The Salinon is created by semicircles so the area of Salinon is because by construction.
c. The perpendicular bisector of is constructed as described in the book which creates the circle MN.
d. The area of MN is found using the same formula from above. The area of the circle MN is because is a line length and has no area by the definition of a line and by construction we know that the radii of the original circle all have equal length so we can write the value of in terms of P,Q, R, and S. Also notice, . Therefore, .

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