## 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.