Class 9 Maths Chapter 10 Exercise 10.1

Exercise 10.1 class 9 maths​ || exercise 10.1 class 9 solutions​ || ncert solutions for class 9 chapter circles exercise 10.1 || exercise 10.1 class 9​ || class 9 exercise 10.1​ || circles class 9 exercise 10.1​ || class 9 maths chapter 10 exercise 10.1​ || class 9 circles exercise 10.1​

Explore clear, step-by-step solutions for Class 9 Maths Chapter 10, Exercise 10.1, which introduces students to the fundamental properties of circles and their geometric significance. This exercise helps learners develop a deep understanding of key terms like radius, diameter, chord, arc and sector, while also exploring relationships between these elements. Students apply previously learned ideas about angles, symmetry, and lines to examine how different parts of a circle interact. Through logical reasoning, diagram-based analysis, and structured explanation, learners are encouraged to justify conclusions and solve conceptual problems. Exercise 10.1 sharpens skills in visualization, geometric thinking, and proof-writing, laying a strong foundation for future studies in coordinate geometry, trigonometry, and practical applications involving circular shapes in real life.

Class 9 Maths Chapter 4 Exercise 4.3​ Solutions
exercise 10.1 class 9 maths​ || exercise 10.1 class 9 solutions​ || ncert solutions for class 9 chapter circles exercise 10.1 || exercise 10.1 class 9​ || class 9 exercise 10.1​ || circles class 9 exercise 10.1​ || class 9 maths chapter 10 exercise 10.1​ || class 9 circles exercise 10.1​
Download the Math Ninja App Now

Exercise 10.1

1. Fill in the blanks:

(i) The centre of a circle lies in _______ of the circle (Exterior/ interior)
Answer
Interior
(ii) A point, whose distance from the centre of a circle is greater than its radius lies in ______ of the circle (Exterior/ interior)
Answer
Exterior
(iii) The longest chord of a circle is a _______ of the circle.
Answer
Diameter
exercise 10.1 class 9 maths​ || exercise 10.1 class 9 solutions​ || ncert solutions for class 9 chapter circles exercise 10.1 || exercise 10.1 class 9​ || class 9 exercise 10.1​ || circles class 9 exercise 10.1​ || class 9 maths chapter 10 exercise 10.1​ || class 9 circles exercise 10.1​
Download the Math Ninja App Now
Mathninja.in
(iv) An arc is a _______ when its ends are the ends of a diameter.
Answer
Semi-circle
(v) Segment of a circle is the region between an arc and _______ of the circle.
Answer
Chord
(vi) A circle divides the plane, on which it lies, in _______ parts.
Answer
Three

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.
Answer
True. All the points on the circle are at equal distances from the centre of the circle, and this equal distance is called as radius of the circle
(ii) A circle has only finite number of equal chords.
Answer
False. There are infinite points on a circle. Therefore, we can draw infinite number of chords of given length. Hence, a circle has infinite number of equal chords
exercise 10.1 class 9 maths​ || exercise 10.1 class 9 solutions​ || ncert solutions for class 9 chapter circles exercise 10.1 || exercise 10.1 class 9​ || class 9 exercise 10.1​ || circles class 9 exercise 10.1​ || class 9 maths chapter 10 exercise 10.1​ || class 9 circles exercise 10.1​
Download the Math Ninja App Now
(iii) If a circle is divided into three equal arcs, each is a major arc.
Answer
False. Consider three arcs of same length as \( A B, B C \), and \( C A \). It can be observed that for minor arc \( BDC, CAB \) is a major arc. Therefore, \(AB , BC ,\) and \(CA\) are minor arcs of the circle
(iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle.
Answer
True. Let AB be a chord which is twice as long as its radius. It can be observed that in this situation, our chord will be passing through the centre of the circle. Therefore, it will be the diameter of the circle
(v) Sector is the region between the chord and its corresponding arc.
Answer
False. Sector is the region between an arc and two radii joining the centre to the end points of the arc. For example, in the given figure, OAB is the sector of the circle.
(vi) A circle is a plane figure.
Answer
True. A circle is a two-dimensional figure and it can also be referred to as a plane figure
exercise 10.1 class 9 maths​ || exercise 10.1 class 9 solutions​ || ncert solutions for class 9 chapter circles exercise 10.1 || exercise 10.1 class 9​ || class 9 exercise 10.1​ || circles class 9 exercise 10.1​ || class 9 maths chapter 10 exercise 10.1​ || class 9 circles exercise 10.1​
Download the Math Ninja App Now

Leave a Comment

Your email address will not be published. Required fields are marked *

Scroll to Top