**Exercise - 22**

**Q. 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.

**Q. 2.** 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.

**Q. 3.** 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.

**Q. 4.** 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.

**Q. 5.** 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.

**Q. 6.** 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.

**Q. 7.** Draw a right angled triangle ABC with AB = 4.5cm, AC = 7.5cm and . Construct its incircle. Write the steps of construction.

**Q. 8.** Construct a triangle ABC in which BC = 13cm, CA = 5cm and AB = 12cm. Draw its incircle and measure its radius.

**Q. 9.** Construct a triangle ABC in which AB = 3cm, BC = 4cm and AC = 5cm. Draw the circumcircle of triangle ABC.

**Q. 10.** Construct the circumcircle of an equilateral triangle with side 6cm. Write the steps of construction.

Subjects |
Maths (Part-1) by Mr. M. P. Keshari |

Chapter 9 |
Circle |

Chapter 10 |
Tangents to a circle |

Chapter 11 |
Geometrical Construction |

Chapter 12 |
Troigonometry |

Chapter 13 |
Height and Distance |

Chapter 14 |
Mensuration |

Chapter 15 |
Statistics |

Chapter 16 |
Probability |

Chapter 17 |
Co-ordinate Geometry |