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Find the best tutors and institutes for Class 10 Tuition
Find Best Class 10 Tuition
Find the best tutors and institutes for Class 10 Tuition
In CBSE Class 10 Mathematics, the chapter "Areas Related to Circles" takes a step further from basic formulas by introducing "Problems based on combinations of plane figures." This concept bridges the gap between simple 2D geometry and real-world spatial reasoning. Instead of just calculating the area of a standalone circle or square, students are challenged to find the area of complex, shaded regions formed when circles intersect with, or are contained within, triangles, rectangles, squares, or even other circles. Mastering this concept involves visualizing complex shapes as a composite of simpler, recognizable geometric figures that have been layered or cut out from one another.
The core logic to solving problems based on combinations lies in the straightforward principle of addition and subtraction of standard geometric areas. First, you must identify the distinct basic shapes within the complex figure. The general mathematical approach is: Area of Shaded Region = Area of Larger Figure - Area of Unshaded Figure(s) (or vice versa, depending on the combination). For example, if a circle is inscribed perfectly within a square and you are asked to find the area of the corner gaps, you calculate the Area of the Square (side²) and subtract the Area of the Circle (πr²). Careful attention to dimensions—such as deducing that a square's side ($a$) is exactly equal to an inscribed circle's diameter ($2r$)—is a crucial first step before applying any formulas.
The diagram above perfectly illustrates a classic combination problem commonly tested in CBSE Class 10 board exams. On the left side of the visual, we have a blue shaded square with an unshaded, white circle perfectly inscribed inside it. To find the area of the blue corners (the shaded region), the calculation steps on the right follow our core logic. We first determine the area of the outer boundary, which is the square with a side of 14 cm, yielding 196 cm². Next, we calculate the area of the inner unshaded boundary—the circle with a radius of 7 cm—giving 154 cm². By simply subtracting the circle's area from the square's area, we easily isolate the remaining space, revealing that the area of the four shaded corners is exactly 42 cm². This step-by-step extraction method is universally applicable to virtually any complex geometric combination, from overlapping semi-circles to sectors cut from triangles.
Mastering problems based on combinations of plane figures requires strong visualization skills and a solid grasp of how fundamental geometric formulas interact. If you are struggling to identify the right shapes to add or subtract, or need help tackling more complex textbook exercises, expert guidance can make a significant difference in your preparation. Discover highly experienced and verified CBSE Class 10 Mathematics tutors on UrbanPro. Whether you prefer interactive online sessions or localized offline tuition, UrbanPro connects you with the perfect tutor to help you confidently conquer 'Areas Related to Circles' and score higher in your board exams.
Other Concepts in Areas Related to Circles
Super Tutor 
Itagalpura Main Rd, Madappanahalli 
133 students 
3628 hrs of classes completed 
500 per hour 
Online Classes I gained extensive experience in delivering high-quality education following the CBSE/ICSE curriculum. My key responsibilities included: Classroom Teaching: Effectively taught Mathematics, Physics and Chemistry to students of classesX, ensuring alignment with the CBSE/ ICSE syllabus and fostering a deep understanding of key concepts. Curriculum Planning: Designed and implemented lesson plans that adhered to the CBSE guidelines, ensuring comprehensive coverage of topics while keeping in mind the varying learning needs of students. Student Assessment: Created and administered tests, quizzes, and assignments in accordance with the CBSE exam pattern. Monitored student performance and provided constructive feedback to facilitate continuous improvement. Interactive Learning: Encouraged an interactive classroom environment, integrating various teaching aids such as multimedia presentations, hands-on activities, and group discussions to enhance student engagement and understanding. Preparation for Board Exams: Provided focused support for students appearing for their CBSE/ICSE board exams by conducting regular revision sessions, mock tests, and personalized guidance to help them excel. Parental Communication: Maintained regular communication with parents regarding student progress, attendance, and overall development. Organized parent-teacher meetings to ensure a collaborative approach to student growth. Co-curricular Involvement: Actively participated in school events, projects, and extracurricular activities, fostering holistic development among students. Professional Development: Engaged in continuous professional development through workshops and CBSE training programs to stay updated with the latest educational practices and policies.
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Top Tutor Sector 150, Noida 800 per hour 
Student's Home 
Tutor's home Having 2 years experience in teaching class 6th to 10th across different boards.
Top Tutor Nerul, Mumbai 5 students 520 hrs of classes completed 450 per hour Online Classes Student's Home Tutor's home I have specifically guided Class 10 students for board exams, with a strong focus on NCERT syllabus, and topics like Real Numbers, Polynomials, Quadratic Equations, and Statistics. I provide regular tests, personalized feedback, and exam-oriented strategies to improve accuracy and speed. Many of my students have shown remarkable improvement and scored above 90% in their board exams.
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Top Tutor Talwandi Sector-B, Kota 1 student 699 hrs of classes completed 1850 per hour Online Classes Tutor's home My teaching exp.11 year in most reputed coaching in india. Mentor of jee top rank air-12 yatis agrawal, 19, 28 many more in top 100 in jee adavnced. Many of students got 100%tile in jee mains along with 100% marks in board exams. I also provide complete relevent study material like worksheet, practice sheet , dpps , assignment etc. Daily quizz based on assignment. Periodically test papers topic wise, minor and major as per shedule. I have helped thousands of students overcome their fear of maths.
It refers to a specific mathematical method or property in Areas Related to Circles used to solve problems involving Problems based on combinations.
This concept is crucial for the exams as questions related to Areas Related to Circles and specifically Problems based on combinations are very common. It helps secure marks in the section effectively.
Yes, Problems based on combinations is an integral part of the CBSE - Class 10 NCERT Mathematics syllabus. It is a key topic covered in the Areas Related to Circles chapter.
Students often miss the minute details or fundamental definitions of Problems based on combinations. Regular revision and practice are needed to master the nuances.
Start by understanding the formulas and logic, then practice applying them to simple problems. Solve the examples given in the NCERT textbook before moving to exercise problems.
UrbanPro connects you with experienced Mathematics tutors who can explain Problems based on combinations with simple examples. You also get access to doubt-clearing sessions and mock tests for better preparation.
