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\ 19-Nov-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________
Circle designs
Many different mathematical designs can be created inside and outside a circle. The
rangoli and mandala art forms use this idea to form beautiful patterns. Let us explore.
1. Draw a circle with a radius of 5 cm.
Draw 8 diameters such that they
are equally spaced. This will divide
the circle into 16 equal parts. Mark
the points from 1 to 16 on the circle
as shown here.
2. Join the even numbered points (2 to 3. The sides of the octagon cut the
4, 4 to 6, ...) to create an octagon. diameters at 8 points. Join these to
create an inscribed octagon.
4. Draw one more octagon inscribed 5. Now, join 2 to 8, 4 to 14, 6 to 12, and
in the previous octagon. 10 to 16 on the circle.
156 Mathematics 5
