Chapter 1

NCERT
Class 9
Mathematics
Solutions
4. Classroom activity (Constructing the ‘square root spiral’) : Take a large sheet of paper and construct the ‘square root spiral’ in the following fashion.

Question:

Classroom activity (Constructing the ‘square root spiral’) : Take a large sheet of paper andconstruct the ‘square root spiral’ in the following fashion. Start with a point O and draw a line segment OP1 of unit length. Draw a line segment P1 P2 perpendicular to OP1 of unit length (see Fig.). Now draw a line segment P2P3 perpendicular to OP2. Then draw a line segment P3P4 perpendicular to OP3. Continuing in this manner, you can get the line segment Pn – 1 Pn by drawing a line segment of unit length perpendicular to OPn – 1. In this manner, you will have created the points P2, P3 ........, Pn, ...... , and joined them to create a beautiful spiral depicting 2, 3, 4,...... Constructing square root spiral

Answer:

Take a large sheet of paper. First take a point O on it and draw a line segment OP1 of unit length. Draw a line segment P1P2 perpendicular to point P1 of unit length, now join OP2. Line segment OP2 represents 2 . Similarly, draw a line segment P2P3 of unit length on point P2, then join OP3 which represents 3 . Similarly draw a perpendicular line segment P3P4 on P3 of unit length and join OP4 which represents 4 . By doing a similar activity we get a square roof spiral showing 2 , 3 , 4 , ...

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