NCERT Solutions for Class 9 Maths Chapter 11 Circles Ex 11.1 are part of NCERT Solutions for Class 9 Maths. Here we have given NCERT Solutions for Class 9 Maths Chapter 11 Circles Ex 11.1.

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 9 |

Subject |
Maths |

Chapter |
Chapter 11 |

Chapter Name |
Circles |

Exercise |
Ex 11.1 |

Number of Questions Solved |
2 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 9 Maths Chapter 11 Circles Ex 11.1

**Question 1.**

**Fill in the blanks.**

**(i) The centre of a circle lies in ___ of the circle. (exterior/interior)**

**(ii) A point, whose distance from the centre of a circle is greater than its radius lies in ____ of the circle, (exterior/interior)**

**(iii) The longest chord of a circle is a ____ of the circle.**

**(iv) An arc is a ____ when its ends are the ends of a diameter.**

**(v) Segment of a circle is the region between an arc and ____ of the circle.**

**(vi) A circle divides the plane, on which it lies, in ____ parts.**

**Solution:**

**(i)** The centre of a circle lies in interior of the circle.

**(ii)** A point, whose distance from the centre of a circle is greater than its radius lies in exterior of the circle.

**(iii)** The longest chord of a circle is a diameter of the circle.

**(iv)** An arc is a semi-circle when its ends are the ends of a diameter.

**(v)** Segment of a circle is the region between an arc and chord of the circle.

**(vi)** A circle divides the plane, on which it lies, in three parts.

**Question 2.**

**Write True or False. Give reason for your answers.**

**(i) Line segment joining the centre to any point on the circle is a , radius of the circle.**

**(ii) A circle has only finite number of equal chords.**

**(iii) If a circle is divided into three equal arcs, each is a major arc.**

**(iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle.**

**(v) Sector is the region between the chord and its corresponding arc.**

**(vi) A circle is a plane figure.**

**Solution:**

**(i) True.** Because all points are equidistant from the centre to the circle.

**(ii) False.** Because circle has infinitely may equal chords can be drawn.

**(iii) False.** Because all three arcs are equal, so their is no difference between the major and minor arcs.

**(iv) True.** By the definition of diameter, that diameter is twice the radius.

**(v) False.** Because the sector is the region between two radii and an arc.

**(vi) True**. Because circle is a part of the plane figure.

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