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.