 Get the modified NCERT Solutions for class 10 Maths Chapter 11 Areas related to Circles in Hindi and English Medium updated for CBSE 2023-24. Class 10 Maths Chapter 11 describes about the area of sector and segments which is solved here with the help of images and videos.

• ## 10th Maths Exercise 11.1 Solutions for CBSE Board

• ### 10th Maths Chapter 11 Solutions for State Boards

 Class: 10 Maths Solutions Chapter 11: Areas related to Circles Content Type: PDF, Text, Graphics and Videos Content: Exercise and Extra Questions Session: CBSE 2023-24 Board Exams Medium: English and Hindi Medium ### NCERT Solutions for class 10 Maths Chapter 11

#### 10th Maths Chapter 11 Solutions

NCERT Solutions for class 10 Maths Chapter 11 Areas related to Circles all exercises are given below updated for new academic year 2023-24 for all boards who are using NCERT Books as a course books. UP Board Students also can download UP Board Solutions for Class 10 Maths Chapter 11 in Hindi from here.

#### Objective of the Area Related to Circles To find the circumference, area of a circle and circular paths. To derive and understand the formulae for perimeter and area of a sector of a circle. To find the perimeter and the area of a sector, using the above formulae. Finding the areas of some combinations of figures involving circles, sectors as well as triangles, squares, rectangles and solve daily life problems based on perimeters and areas of various plane figures.

##### Formulae for perimeters and areas

Perimeter of a rectangle = 2 (length + breadth)
Area of a rectangle = length × breadth
Perimeter of a square = 4 × side
Area of a square = (side) × (side)
Area of a parallelogram = base × corresponding altitude
Area of a triangle = 1/2 × base × corresponding altitude
Area of a rhombus = 1/2 × product of its diagonals
Area of a trapezium = 1/2 × (sum of the two parallel sides) × distance between them
Circumference of a circle = 2 × π × radius
Area of a sector = angle/360 × π × (radius) × (radius)
Length of an arc = angle/360 × 2π × (radius)
Perimeter of a sector = angle/360 × 2π × (radius) + 2(radius)
Area of segment = Area of sector – area of triangle

###### Historical Facts!

1. All the mathematical ideas have emerged out of daily life experiences. The first ever need of human being was counting objects. This gave rise to the idea of numbers. When the man learn to grow crops, following types of problems had to be handled:
Fencing or constructing some kind of a boundary around the field, where the crops were to be grown.
2. Allotting lands of different sizes for growing different crops.
3. Making suitable places for storing different products grown under different crops.
4. These problems led to the need of measurement of perimeters (lengths), areas and volumes, which in turn gave rise to a branch of mathematics known as Mensuration. Area related to circle is one of the part of mensuration.

### How many sums are there in class 10 Maths chapter 11 Areas Related to Circles?

There is 1 exercise in class 10 math chapter 11 (Areas Related to Circles). In exercise 11.1, there are only 5 questions.
There are only 1 example in class 10 math chapter 11 Areas Related to Circles.

### Which topics students should recall before starting 10th Maths chapter 11?

Before starting class 10 math chapter 11, Students should recall the following topics from chapter 10 (Circles) of class 9th math.
Topics: 1) Meaning of Chord of the circle.
2) Meaning of Arc (Major Arc and Minor Arc).
3) Meaning of Sector of the circle (Major Sector and Minor Sector).
4) Meaning of Segment of the circle (Major Segment and Minor Segment).
And some other things like radius of circle, diameter of circle etc.

### What students will study in chapter 11 Areas Related to Circles of class 10 Maths?

In chapter 11 Areas Related to Circles of class 10 math, students will study
1) Perimeter (circumference) of a circle and Area of a circle.
2) Areas of Sector and Segment of a Circle.
3) Length of an Arc of a sector of a circle.
4) Areas of Combinations of Plane Figures.

### Is chapter 11 Areas Related to Circles of class 10th Maths an easy topic?

Chapter 11 (Areas Related to Circles) of class 10th mathematics is not easy and not difficult, it lies in middle of easy and difficult because some examples and questions of this chapter are easy and some are difficult. But difficulty level of anything varies from student to student. So, Chapter 11 (Areas Related to Circles) of class 10th mathematics is easy or not depends on students also. Some students find it difficult some find it easy and some find it in middle of easy and difficult.

### How do we find area of circle and perimeter in 10th Maths Chapter 11?

Perimeter (circumference) of circle is 2πr, where r is the radius of circle. And Area of a circle is π r², where r is the radius of the circle.
Use the formula given above and find the area or perimeter directly.

Last Edited: December 9, 2023