## 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.