NCERT Solutions for Class 9 Maths Chapter 10 – Circles Exercise 10.1 has been provided here for students to prepare well for the second term exam. It has been designed by our expert teachers and in accordance with the NCERT syllabus and guidelines directed by CBSE. The questions with solutions of 9th class Maths, are helpful for students, to do their homework and score good marks in the first and second term exam.
Access Other Exercise Solutions of Class 9 Maths Chapter 10- Circles
- Exercise 10.1 Solutions : 2 Question ( 2 Short)
- Exercise 10.2 Solutions : 2 Question ( 2 Long)
- Exercise 10.3 Solutions : 3 Question ( 3 Long)
- Exercise 10.4 Solutions : 6 Question ( 6 Long)
- Exercise 10.5 Solutions : 12 Question ( 12 Long)
- Exercise 10.6 Solutions : 10 Question ( 10 Long)
Access Answers to NCERT Class 9 Maths Chapter 10 Circles Exercise 10.1
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.
(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 semicircle 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 3 (three) parts.
2. Write True or False: Give reasons for your Solutions.
(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.
(i) True. Any line segment drawn from the centre of the circle to any point on it is the radius of the circle and will be of equal length.
(ii) False. There can be infinite numbers of equal chords of a circle.
(iii) False. For unequal arcs, there can be major and minor arcs. So, equal arcs on a circle cannot be said as a major arc or a minor arc.
(iv) True. Any chord whose length is twice as long as the radius of the circle always passes through the centre of the circle and thus, it is known as the diameter of the circle.
(v) False. A sector is a region of a circle between the arc and the two radii of the circle.
(vi) True. A circle is a 2d figure and it can be drawn on a plane.
This exercise consists of fill in the blanks and true or false type of questions, based on the circles and its related terms. This is a very short exercise and will not take much time for students. They just have to learn a few of the terminologies before solving this exercise, such as;
- What is a Circle?
- Center of the circle
- Radius and Diameter
- Section and Arc
- Segment and Sector
Practice problems and solutions for Class 9 Maths, Chapter 10, by reaching us. Students can also gain from our other learning resources such as notes, question papers, books, etc. provided here.
The questions in Exercise 10.1 are very simple and can be easily solved. They are basically short answer type questions and will have less weightage in the first term exam. Solve NCERT solutions, where problems are explained in a detailed way following each and every step.