NCERT solution Class 10 areas related to circles

NCERT Solutions

Class 10 Maths

Areas Related to Circles

NCERT Questions

Ex.11.1 Q.1
Ex.11.1 Q.2
Ex.11.1 Q.3
Ex.11.1 Q.4
Ex.11.1 Q.5
Ex.11.1 Q.6
Ex.11.1 Q.7
Ex.11.1 Q.8
Ex.11.1 Q.9
Ex.11.1 Q.10
Ex.11.1 Q.11
Ex.11.1 Q.12
Ex.11.1 Q.13
Ex.11.1 Q.14

Ex.11.1 Q.13

A round table cover has six equal designs as shown in Fig. 12.14. If the radius of the cover is 28 cm, find the cost of making the designs at the rate of Rs 0.35 per cm2. (Use √3 = 1.7)

Here, r = 28 cm

Since, the circle is divided into six equal sectors.

So, sector angle θ = 360° ÷ 6 = 60°

Area of the sector with angle 60° and radius 28 cm = (θ ÷ 360°) × πr2

= (60° ÷ 360°) × ( ) × 28 × 28

= ( ) x × 28 × 4

= (44 × 28) ÷ 3

= 410.67 cm2 …………… (1)

Now, area of 1 design = Area of segment APB

= Area of sector – Area of ΔAOB …………... (2)

In ΔAOB, ∠AOB = 60°, OA = PN = 28 cm

So, ∠OAB = 60° and ∠OBA = 60°

=> ΔAOB is an equilateral triangle.

=> AB = AO = BO

=> AB = 28 cm

=> Draw OM ⊥AB

Now, in right ΔAOM, we have

= sin 60° =

=> OM = OA ×

=> OM = 28 ×

=> OM = 14√3 cm

Area of ΔAOB = × AB × OM

= × 28 × 14√3

= 14 × 14 × 1.7

= 333.3 cm2 ………... (3)

Now, from (1), (2) and (3), we have:

Area of segment APQ = 410.67 – 333.2

= 77.47 cm2

=> Area of 1 design = 77.47 cm2

So, area of the 6 equal designs = 6 × 77.47

= 464.82 cm2

Cost of making the design at the rate of Rs. 0.35 per cm2 = Rs. 0.35 × 464.82

= Rs. 162.68

Video solution:

Areas Related to Circles Class 10 Maths NCERT Chapter 12 NCERT Solutions

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Attempt to Solve Yourself: Before looking at the solution, try to solve or answer the question independently. This practice will help you test your knowledge and problem-solving skills.
Match with Our Solution: After attempting the question, compare your result and approach with the provided NCERT solution. This step allows you to identify any mistakes or gaps in your understanding.
Refer to Solution Video (if needed): If you encounter difficulty or are unable to solve a question, you can refer to the NCERT solution video on Areas Related to Circles Class 10 Maths NCERT Chapter 12 to get a step-by-step explanation of the correct approach. Pay attention to the reasoning and methodology used in the video.
Solve Again Yourself: Once you've understood the solution, attempt to solve the question again by yourself. Repetition and practice solidify your understanding of the concepts and improve retention.
Avoid Memorization: Focus on understanding the underlying principles and concepts behind each solution. Avoid simply memorizing the solutions, as this may hinder your ability to apply the knowledge in different contexts.
Attempt All Questions: Make an effort to attempt all the questions provided in the NCERT textbook. This comprehensive practice will help you cover the entire syllabus and reinforce your understanding across various topics. You may refer Class 10 Maths Areas Related to Circles Online Test on LearnoHub.com.
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NCERT solutions of Areas Related to Circles Class 10 Maths - all questions of all exercises are solved. Q. No. 1, 2, 3, and so on. Complete explanation and detailed solution makes them the best videos for Class 10 Maths Areas Related to Circles NCERT solutions.