NCERT Solutions for Class 10 Maths Chapter 11 Areas Related to Circles

Class 10 Maths chapter 11 Exercises Question Answers with solution in Hindi Medium and English Medium are given here in PDF file to download. The entire solutions is updated for Students of UP Board and CBSE Board Education for session 2024-25. As the UP Board Students are now using NCERT Books in current session, so they can download UP Board Solutions for class 10 Maths Chapter 11 exercise in Hindi Medium. Download NCERT Solutions Offline Apps for 2024-25 based on latest NCERT Textbooks for class 10 all subjects prepared according to Latest CBSE Syllabus for the academic year 2024-25. We have updated all the contents of Tiwari Academy for new academic session. Contents are made as per the curriculum changes in CBSE or UP Board. If someone is not getting the contents, please contact us for help. We will help to access NCERT Solutions or required contents.

NCERT Solutions for class 10 Maths Chapter 11 Areas related to Circles all exercises are given below updated for new academic year 2024-25 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.

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 circle = π × (radius) × (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.