Chapter 11

Geometrical Construction

1. From a point P on the circle of radius 4cm, draw a tangent to the circle without using the centre. Also write steps of construction. Draw a circle of radius 4.5cm. Take a point P on it. Construct a tangent at the point P without using the centre of the circle. Write the steps of construction.
    
2. Draw a circle of radius 5cm. Take a point P on it. Without using the centre of the circle, construct a tangent at the point P. Write the steps of construction also.
    
3. Draw a circle of diameter 12cm. From a point P, 10cm away from its centre, construct a pair of tangent to the circle. Measure the lengths of the tangent segments.
    
4. Draw a circle of radius 5cm. from a point P, 7cm away from its centre, construct a pair of tangents to the circle. Measure the length of the tangent segments.
    
5. Draw a circle of radius 7cm. From a point P, 8cm away from its centre, Construct a pair tangents to the circle. Measure the length of the tangent segments.
    
6. Construct a triangle ABC in which BC = 13cm, CA = 5cm and AB = 12cm. Draw its incircle and measure its radius.
    
7. Construct a triangle ABC in which AB = 3cm, BC = 4cm and AC = 5cm. Draw the circumcircle of triangle ABC.
    
8. Construct the circumcircle of an equilateral triangle with side 6cm. Write the steps of construction....