CBSE Class 10 Mathsematics
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In this comprehensive online resource, we will explore the fundamental principles of circle geometry, learn the essential formulas, and master the techniques to find the areas of circles, Area of sectors, and segments.
Whether you are a student gearing up for your CBSE board exams, a curious learner seeking knowledge, or an educator looking for effective teaching materials, you'll find valuable insights here. Explore our easy-to-understand explanations, solved examples, and practice questions that will ensure you not only understand but also excel in this crucial aspect of mathematics. Together, we will aim for nothing less than a perfect 100% understanding of the topic.
Let's begin this learning journey. Brace yourselves to conquer the world of circles and their areas. Feel free to engage, ask questions, and explore the wealth of knowledge I've prepared for you.
Remember, I'm not just your teacher; I'm your mentor and educator on this educational voyage. Let's start exploring! Warm regards, Jsunil Sir |
Class 10 Chapter 11 AREAS RELATED TO CIRCLES
- Area of a minor Sector of Circle = (θ/360º) × πr^2, where, θ is the sector angle subtended by the arc at the center, in degrees, and 'r' is the radius of the circle.
- Area of a Segment of Circle = Area of Sector -Area of triangle
- Length of arc = 2πr × (θ/360º)
Areas Related to Circle
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BOARD exam Questions
1.A chord of a circle of radius 14 cm subtends an angle of 60° at the centre. Find the area of the corresponding minor segment of the circle. Also find the area of the major segment of the circle.
2.A car has two wipers which do not overlap. Each wiper has a blade of length 21 cm sweeping through an angle of 120 degree . Find the total area cleaned at each sweep of the two blades.
2.A car has two wipers which do not overlap. Each wiper has a blade of length 21 cm sweeping through an angle of 120 degree . Find the total area cleaned at each sweep of the two blades.
3. In an annual day function of a school, the organizers wanted to give a cash prize along with a memento to their best students. Each memento is made as shown in the figure and its base ABCD is shown from the front side. The rate of silver plating is 20 per cm2.
(i) What is the area of the quadrant ODCO ?
(ii) Find area of triangle AOB
(iii) (a) What is the total cost of silver plating the shaded part ABCD ?
OR (iii) (b) What is the length of arc CD ?
4. The hour-hand of a clock is 6 cm long. The angle swept by it between 7:20 a.m. and 7:55 a.m. is :
(a) 435/4 (b) 35/2 (c) 35 (d) 70
5. What is the length of the arc of the sector of a circle with radius 14 cm and of central angle 90 ?
(a) 22 cm (b) 44 cm (c) 88 cm (d) 11 cm
(i) What is the area of the quadrant ODCO ?
(ii) Find area of triangle AOB
(iii) (a) What is the total cost of silver plating the shaded part ABCD ?
OR (iii) (b) What is the length of arc CD ?
4. The hour-hand of a clock is 6 cm long. The angle swept by it between 7:20 a.m. and 7:55 a.m. is :
(a) 435/4 (b) 35/2 (c) 35 (d) 70
5. What is the length of the arc of the sector of a circle with radius 14 cm and of central angle 90 ?
(a) 22 cm (b) 44 cm (c) 88 cm (d) 11 cm