Exercise [Geometrical Construction]

EXERCISE 

1. A line AB has a length of 131 mm. Divide it graphically into 8 equal parts. 

2. Divide a 90 mm long straight line into 3 parts in the proportion of 2 : 3 : 5. 

3. Mark three points A, B and C at any convenient locations and draw a circle passing through these points. 

4. Draw a tangent to a circle of diameter 50 mm from a point P, 110 mm away from the centre of circle. 

5. Draw a common external tangent to two circles of diameter 100 mm and 60 mm whose centres are located at 110 mm apart. 

6. In the above problem draw a common internal tangent. 

7. Draw a common external tangent to two circles of diameter 80 mm each whose centres are located at 120 mm apart. 

8. In the above problem draw a common internal tangent. 

9. Draw a triangle of sides 60 mm, 45 mm and 50 mm. 

10. Construct a pentagon of side 25 mm. 

11. Construct a hexagon of side 30 mm. 

12. Construct a heptagon of side 25 mm. 

13. Construct a octagon of side 30 mm. 

14. Construct a nanogon of side 20 mm. 

15. Construct a pentagon, hexagon and octagon on a common side AB of 40 mm length.