Q16 of 32 Page 20

How to construct a square root spiral?

To construct a square root spiral,


Procedure:


1. Draw a line segment PQ of length 1 unit by taking 2 cm as 1 unit,



2. Construct a line QX perpendicular to the line segment PQ, by using compasses or a set square.



3. From Q, draw an arc of 1 unit, which cut QX at C(let)


4. Join PC.


5. Taking PC as a base, draw a perpendicular CY to PC, by using compasses or a set square.


6. From C, draw an arc of 1 unit, which cut CY at D(let).


7. Join PD.


8. Taking PD as a base, draw a perpendicular DZ to PD, by using compasses or set square.


9. From D draw an arc of 1 unit which cut DZ at E(let).


10. Join PE.


Keep repeating the process for sufficient no. of times. Then the figure so obtained is called a square root spiral.



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