These NCERT Solutions for Class 9 Maths Chapter 10 Circles Ex 10.1 Questions and Answers are prepared by our highly skilled subject experts.
NCERT Solutions for Class 9 Maths 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.
Solution:
(i) Interior
(ii) Exterior
(iii) Diameter
(iv) Semicircle
(v) The chord
(vi) Three
Question 2.
Write True or False: Give reasons for your answer.
(i) Line segment joining the centre to any point on the circle is a radius of the circle.
(ii) A circle has only a 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 the 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
(ii) False, A circle has an infinite number of equal chords.
(iii) False, if a circle is divided into three equal arcs then each is a minor area.
(iv) True
(v) False, sector is the region between the radius and corresponding arc.
(vi) True.