NCERT Class 9 Maths Chapter 10 Circles Exercise 10.1

Chapter 10 Circles Exercise 10.1

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.
Answer:
i) Interior
ii) Exterior
iii) Diameter
iv) Semicircle
v) Chord
vi) 3

Question 2: Write True or False: Give reasons 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.
Answer:
i) True, as all points on the circle are equidistant from the centre
ii) False, as a circle can have an infinite number of equal chords
iii) False, as each part will be less than a semicircle
iv) True, as diameter = 2 times radius
v) False, as the region between the chord and its corresponding arc is a segment
vi) True, as a circle is drawn on a plane