NCERT Solutions Class 9 Maths Chapter 10 - Circles
In your daily life experiences, you might have noticed some objects having a round shape as in wheels of cars or other vehicles, bangles, the surfaces of clocks, certain coins like the one and five rupee coins or buttons of shirts. The mentioned shapes are examples of circles and that is why we shall focus on the topic of circles covered in the Class 9 maths syllabus chapter 10, which covers definition and properties of a circle. This chapter also presents useful theorems one of which states that a perpendicular from the centre of a circle to a chord will divide the chord into two equal parts while the other states that the chords of a circle which are equal in length lie at an equal distance from the centre of the circle.
In this article, you will get the NCERT Class 9 Mathematics Chapter 10 Circle PDF which is made by the best of ALLEN's experts in depth for your ease in solving the questions. In addition to that, these exercises that are necessary for the completion of Class 9 examinations will also help you develop your logical and structural reasoning skills and geometric problem solving skills as well.
NCERT Solutions Class 9 Maths Chapter 10 - Circles: All Exercises
1.0What Will Students Learn in Chapter 10 - Circles?
- Circles have a definition and fundamental concepts that constitute them.
- Key terms like radius, diameter, chord, arc, and circumference must be understood.
- Important theorems, such as:
- A jump from the center to any chord fails to lose its focus and accomplishes two things, namely, it is perpendicular and it bisects the chord.
- Two chords of equal length subtended from the center of a circle will be at the same distance from the center.
- What approach to take when these particular components, chords, arcs, and even tangents are applied in the context of a problem.
- Use of theorems to establish and justify relationships between figures contained in circles.
Table of Contents
- 1.0What Will Students Learn in Chapter 10 - Circles?
The perpendicular from the center to a chord bisects the chord. Equal chords of a circle are equidistant from the center.
It is possible to take up study of circles even when you have not yet fully perfected your skills on straight lines; however, it will be of great advantage to have at least an elementary notion of straight lines. Several concepts in the chapter including tangents, chords and secants are straight lines in relation to circles.
These circle theorems and other properties of the circles are often asked in exams such as Olympiad, NTSE and even in the basic level medical and engineering entrance exams.