NCERT Class 10 Math Chapter 11 वृत्तों से संबंधित क्षेत्रफल (Areas Related to Circles) explains how to calculate areas of circle segments, sectors, and combined shapes. The chapter builds on what students already know about circles and geometry, and applies it to real-life problems like finding the area of flower beds, playground tracks, or shaded regions in diagrams. These concepts are very practical because they combine geometry with mensuration, helping students understand applications of mathematics in daily life.
I chose to write about this chapter because it often looks simple at first glance but students tend to make mistakes in applying formulas, especially when it comes to areas of sectors and segments. Many board exam questions are designed around this chapter, usually with diagrams where one has to calculate shaded portions by subtracting or adding different areas. For example, finding the area of a path around a circular garden or calculating the area of a semicircular design is a common type of problem. By mastering this chapter, students not only score well in exams but also develop a better understanding of how mathematics is used to solve practical geometry-based problems. Having the NCERT PDF makes it easy to revise formulas and go through solved examples to build confidence.
Key Concepts in Chapter 11 वृत्तों से संबंधित क्षेत्रफल
This chapter mainly covers:
- Area of a circle using the formula πr²
- Area of sector of a circle = (θ/360) × πr²
- Area of segment of a circle (using sector area minus triangle area)
- Application-based problems involving combinations of circles with squares, rectangles, and triangles
Example for Practice
If the radius of a circle is 7 cm, then the area of a semicircle is (½ × π × r²) = 77 cm² (using π = 22/7). Such questions are often asked in board exams.
Download PDF
Students can download NCERT Class 10 Math Chapter 11: वृत्तों से संबंधित क्षेत्रफल PDF from this website.
