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August 8, 202239 Insightful Publications

**NCERT Solutions for Class 10 Maths Chapter 10: **The chapter ‘Circles’ is a valuable resource to help students ace their board exams. This article offers a detailed solution to the NCERT Class 10 Maths Chapter 10 questions, which require logical reasoning and deep comprehension of topics to solve the problems. The NCERT Solutions for Circles also includes numerical problems on ‘Tangents of Circles and Areas Related to Circles’ and contains the most comprehensive, reliable, and up-to-date information provided by expert faculty members at Embibe.

The answers were created using the most recent CBSE grading scheme and exam pattern standards. It is imperative that students learn this chapter thoroughly to make their base stronger for competitive exams like JEE Main, BITSAT, etc. Solutions for Class 10 Maths Circles chapter can be downloaded in PDF format from this article. Read on to find out everything about Class 10 Maths Chapter 10 solutions.

Practice CBSE Class 10 Subject Wise Questions | |
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Before getting into the details of NCERT CBSE Solutions for Class 10 Maths Circles chapter, let us have an overview of the list of topics and sub-topics in the chapter.

Topic Number | Topic Name |
---|---|

10.1 | Introduction |

10.2 | Tangent to a Circle |

10.3 | Number of Tangents from a Point on a Circle |

10.4 | Summary |

All the solutions of Chapter 10 of Maths Class 10 have been prepared by experts at Embibe. The solutions are explained step-wise and students can easily decode the steps and understand the approach towards problem-solving. By practicing these NCERT solutions, students can improve their self-confidence and master the subject.

The free PDF link of the NCERT solutions for Class 10 Circles chapter has been provided below.

**Q.1. How many tangents can a circle have?****Solution: **As we know that if a point lies on a circle then at this point only one tangent can be drawn to the circle. Since the circle has infinite points on it and at each point, we can draw one tangent,

Hence, infinite tangents can be drawn to a circle.

**Q.2. Number of points of contact of a tangent to a circle is – [Answer in words]Solution: **We know that,

A tangent to a circle is a straight line which touches the circle at only one point.

This point is called the point of tangency. The tangent to a circle is perpendicular to the radius at the point of tangency. If a line is a tangent to a circle then it meets the circle only at one point.

If a line intersects the circle at two points, then the line is called secant.

Hence, number of points of contact of a tangent to a circle is one.

**Download NCERT Solutions for Class 10 Maths Chapter 10 PDF**

The chapter consists of only two theorems and two exercises. The discussion in this chapter is mainly based on the tangent to a circle and the number of tangents from a point on a circle. A circle is the most common shape we see in our daily lives. Now that we have studied the various theorems in circles, let us see the areas where these are applicable.

A photographer may use circles to focus the lens. Using circle theorems, a ship navigator uses the nautical radar to figure out where they are or if there is any incoming. When designers design an aeroplane, they generally use circular designs. When they design the interior of the plane, they use theorems of circles to calculate how much space is inside the plane.

Another career where these theorems would be used is Art. Artists would use circle theorems for proportionate masterpieces and sculptures. Astronauts and astronomers may use circle theorems to determine how much energy a planet or a star has when orbiting a larger planet or star. These are some of the many examples where the concepts of circles are used in real life.

Now that you are provided with all the necessary information regarding Solutions for Chapter 10 of Class 10 Maths, you are also advised to solve free **practice questions for circles** on Embibe.

**Q.1 : From where can I download Circles Class 10 Maths NCERT Solutions PDF?**: Students can download NCERT Solutions PDF for Chapter 10 of Class 10 Maths from this article which contains the most comprehensive, reliable, and up-to-date information provided by expert faculty members, compiled according to the latest CBSE marking scheme and exam pattern guidelines.

Ans

**Q.2: What are the topics covered in Class 10 Maths Circles chapter?****Ans**: Class 10 Maths Chapter 10 is about ‘Circles’* *which has different topics covered like basic concepts of a circle, how to calculate the area of a circle, the tangent of a circle, how to calculate the perimeter of a circle, etc.

**Q.3: Can I download the Class 10 Maths Chapter 10 Solutions PDF for free?****Ans:** Yes, at Embibe, Class 10 Maths Chapter 10 NCERT Solutions PDF is available for free.

**Q.4: How many tangents can a circle usually have?****Ans:** Generally, there is no limit to the number of tangents a circle can have. It can be infinite as the circle is made up of infinite points that are at an equal distance from the point. Since there are infinite points on a circle’s circumference, infinite tangents can be drawn from them.

**Q.5: How can students score good marks in Class 10 Maths Chapter 10 in exams?****Ans**: Students have to practice the topic efficiently and consistently to ensure that they score well in the exams. For Class 10 Maths Chapter 10, students can solve free practice questions for circles on Embibe. Solving these questions will help students to secure good marks.

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