Constructing Regular Polygons Inscribed in Circles

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Questions

• Is a rhombus a regular polygon?
• When is a rectangle a regular polygon?
• When is a rhombus a regular polygon?
• When is an isosceles triangle a regular polygon?
• How many lines of symmetry are there on a regular pentagon?
• In a circle a diameter #AB# is drawn and on one side of it an arc #CD# is marked, which subtends an angle #50^@# at the center. #AC# and #BD# are joined and produced to meet at #E#. Find #/_CED#?
• Question #59578
• Can we say that all regular polygons are made from congruent isosceles triangles?
• The inner circle is the largest one that can be drawn inside the square. The outer circle is the smallest one that can be drawn with the square inside it. Prove that the shaded area between the 2 circles is the same as the area enclosed by inner circle?