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NCERT Solutions for Class 9 Maths Chapter 10 (Ex 10.1)
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NCERT Solutions for Class 9 Maths Chapter 10: Circles - Exercise 10.1
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Exercise 10.1
1. Fill in the blanks
(i) The centre of a circle lies in __________ of the circle. (exterior/interior)
Ans: The centre of a circle lies in the interior of the circle.
(ii) A point, whose distance from the centre of a circle is greater than its radius lies in __________ of the circle. (exterior/interior)
Ans: A point, whose distance from the centre of a circle is greater than its radius lies in the exterior of the circle
(iii) The longest chord of a circle is a __________ of the circle.
Ans: The longest chord of a circle is a diameter of the circle.
(iv) An arc is a __________ when its ends are the ends of a diameter.
Ans: 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 __________ of the circle.
Ans: 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 __________ parts.
Ans: A circle divides the plane, on which it lies, in three parts.
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.
Ans: True.
The radius of the circle is the distance between all points on the circle that are equal distances from the circle's centre.
(ii) A circle has only finite number of equal chords.
Ans: False
A circle has an unlimited number of points.
As a result, an unlimited number of chords of a given length can be drawn.
As a result, there are an endless number of equal chords in a circle.
(iii) If a circle is divided into three equal arcs, each is a major arc.
Ans: False.
Consider the following three arcs: AB, BC, and CA.
It can be shown that CAB is a major arc for minor arc BDC.
As a result, the minor arcs of the circle are AB, BC, and CA.
(iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle.
Ans: True.
Let AB be a chord with a length twice that of its radius.
Our chord will travel through the centre of the circle in this scenario, as can be seen.
As a result, it will be the circle's diameter.
(v) Sector is the region between the chord and its corresponding arc.
Ans: False.
The region between an arc and two radii connecting the arc's centre and endpoints is known as a sector.
OAB, for example, is the circle's sector in the illustration.
(vi) A circle is a plane figure.
Ans: True.
A circle is a two-dimensional shape that may also be called a planar Shape.
NCERT Solutions for Class 9 Maths Chapter 10 Circles Exercise 10.1
Opting for the NCERT solutions for Ex 10.1 Class 9 Maths is considered as the best option for the CBSE students when it comes to exam preparation. This chapter consists of many exercises. Out of which we have provided the Exercise 10.1 Class 9 Maths NCERT solutions on this page in PDF format. You can download this solution as per your convenience or you can study it directly from our website/ app online.
Vedantu in-house subject matter experts have solved the problems/ questions from the exercise with the utmost care and by following all the guidelines by CBSE. Class 9 students who are thorough with all the concepts from the Subject Circles textbook and quite well-versed with all the problems from the exercises given in it, then any student can easily score the highest possible marks in the final exam. With the help of this Class 9 Maths Chapter 10 Exercise 10.1 solutions, students can easily understand the pattern of questions that can be asked in the exam from this chapter and also learn the marks weightage of the chapter. So that they can prepare themselves accordingly for the final exam.
Besides these NCERT solutions for Class 9 Maths Chapter 10 Exercise 10.1, there are plenty of exercises in this chapter which contain innumerable questions as well. All these questions are solved/answered by our in-house subject experts as mentioned earlier. Hence all of these are bound to be of superior quality and anyone can refer to these during the time of exam preparation. In order to score the best possible marks in the class, it is really important to understand all the concepts of the textbooks and solve the problems from the exercises given next to it.
Do not delay any more. Download the NCERT solutions for Class 9 Maths Chapter 10 Exercise 10.1 from Vedantu website now for better exam preparation. If you have the Vedantu app in your phone, you can download the same through the app as well. The best part of these solutions is these can be accessed both online and offline as well.
FAQs on NCERT Solutions for Class 9 Maths Chapter 10: Circles - Exercise 10.1
1. What is chapter 10 circles exercise 10.1 about?
Exercise 10.1 is about the circle and its related terms. A circle is made up of all the points in a plane that are all at the same set distance from another fixed point in the plane.
2. What is the radius of the circle explained in the ncert solutions for class 9 maths chapter 10 circles exercise 10.1?
The radius of a circle is the separation between any two points on its circumference. The radius of a circle is also the line segment connecting the center and any point on the circle. In other words, the word "radius" can refer to both the length of a line segment as well as a line segment itself.
3. According to the ncert solutions for class 9 maths chapter 10 circles exercise 10.1 given by vedantu in how many parts a circle is divided?
The plane on which a circle is located is divided into three halves. They are I inside the circle, also known as the circle's interior; (ii) the circle; and (iii) outside the circle, also known as the circle's exterior. The circular region is made up of the circle and its inside.
4. Explain about the diameter and arc used in this exercise?
A diameter is the longest chord and all diameters have the same length, which is equal to two times the radius. The area of a circle that is between two points is known as an arc. The main arc is longer than the minor arc, which is smaller.
5. How can students solve easily through the ncert solutions provided by Vedantu?
Vedantu in-house subject matter experts have solved the questions from exercise 5.2 with the utmost care and by following all the guidelines provided by CBSE. With the help of vedantu one can easily prepare for exams.