NCERT Solutions for Class 9 Maths Chapter 10 Circles (Ex 10.1) Exercise 10.1
Class 10 is a crucial year for students. Their careers and academic pursuits are influenced by it. However, a student’s success is not just determined by their performance throughout a single academic year. CBSE Class 9 is positioned as a turning point in student life since Class 9 and Class 10 are two sides of the same coin. Students must first pass Class 9 in order to take the Class 10 board test. Additionally, it serves as the foundation for upcoming classes. It is more likely for students to perform well in the Class 10 board exams if they are proficient in their Class 9 courses.
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NCERT Solutions for Class 9 Maths Chapter 10 Circles (Ex 10.1) Exercise 10.1
Using the NCERT Solutions For Class 9 Maths Chapter 10 Exercise 10.1 is a great way to prepare for the topics presented in Class 9 Maths Chapter 10 Exercise 10.1. Students can successfully complete this chapter by using the NCERT Solutions For Class 9 Maths Chapter 10 Exercise 10.1 and the Circles Class 9 Exercise 10.1 Solutions available on the Extramarks website.
Access NCERT Answers for class 9 Mathematics Chapter 10 – Circles
Exercise 10.1 Class 9 Maths is just one of the multiple exercises that are part of Chapter 10 of Class 9 Mathematics. The topics covered in Chapter 10 and every chapter are divided into different exercises. This helps the students better understand different topics by focusing on one at a time. With the help of the NCERT Solutions For Class 9 Maths Chapter 10 Exercise 10.1 and the individual exercises for each exercise, students can master each topic individually. The NCERT Solutions For Class 9 Maths Chapter 10 Exercise 10.1, were created by subject experts of Mathematics at Extramarks. Extramarks ensure that tools like the NCERT Solutions For Class 9 Maths Chapter 10 Exercise 10.1, are detailed and easy to understand for all students. Students can take help from the NCERT Solutions For Class 9 Maths Chapter 10 Exercise 10.1 to get step-by-step solutions to each question asked in Exercise 10.1.
NCERT Solutions for Class 9 Maths Chapter 10 Circles Exercise 10.1
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NCERT Solutions for Class 9
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CBSE Study Materials for Class 9
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CBSE Study Materials
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Q.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.
Ans
(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 semi-circle 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 three parts.
Q.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.
Ans
(i) True. Since, all the points on the circumference are equidistant from the centre of the circle, and this distance is called the radius of the circle.
(ii) False. Since, there are infinite points on the circumference. Then, we can draw infinite number of chords of same length. Hence, a circle has infinite number of equal chords.
(iii) False. Three equal arcs in a circle will not be major arc because there is no minor arc.
(iv) True. Since, a chord equal to twice of the radius is called diameter of the circle.
(v) False. Sector is the region bounded by an arc and two radii of the circle. OAB is the sector of the circle in the figure.
(vi) True. A circle is a two dimensional figure as it has not thickness, so it is called plane figure.
FAQs (Frequently Asked Questions)
1. What is the significance of Geometry in real life?
Geometry has many practical applications hence, it is essential that students learn concepts implicit in it. The study of Geometry equips students with a variety of fundamental abilities and aids in the development of their capacity for logical thought, deductive reasoning, analytical reasoning, and problem-solving thereby assisting in their overall development in the process. This is just one example. There are many benefits of Geometry in real life.
