CBSE Class 10 Mathematics Area Related To Circles VBQs

CBSE Class 10 Mathematics Area Related To Circles VBQs read and download in pdf. Value Based Questions come in exams for Mathematics in Class 10 and are easy to learn and helpful in scoring good marks. You can refer to more chapter wise VBQs for Class 10 Mathematics and also get latest topic wise very useful study material as per latest NCERT book for Class 10 Mathematics and all other subjects for free on Studiestoday designed as per latest Class 10 CBSE, NCERT and KVS syllabus and examination pattern

VBQ for Class 10 Mathematics Chapter 12 Areas Related to Circles

Class 10 Mathematics students should refer to the following value based questions with answers for Chapter 12 Areas Related to Circles in Class 10. These VBQ questions with answers for Class 10 Mathematics will come in exams and help you to score good marks

Chapter 12 Areas Related to Circles VBQ Questions Class 10 Mathematics with Answers

Very Short Answer type Questions

Question. An arc of a circle is of length 5π cm and the sector it bounds has an area of 20π cm2. Find the radius of the circle.
Answer : 
r = 8 cm

Question. Calculate the perimeter of an equilateral triangle, if it is inscribed in a circle with area 154 cm2.
Answer : 
423cm

Question. A chord of circle of radius 10cm subtends a right angle at the centre. Find the area of the minor segment.
Answer : 
285.5

Question. The perimeter of a sector of a circle of radius 5.2cm is 16.4cm. Find the area of the sector.
Answer : 
15.6 sq.cm

Question. Two circles touch externally. The sum of their areas is 130π cm2. Distance between their centres is 14 cm, Find radius of each circle.
Answer : 
11cm and 3 cm

Question. If the perimeter of a sector of a circle of radius 6.5cm is 29cm, find its area.
Answer : 
52 sq.cm

Question. Find the area of the segment of a circle of radius 15 cm, when the angle of the corresponding sector is 1200.
Answer : 
75π− 225/4 √3 𝑐𝑚

Question. Find the diameter of the circle whose area is equal to the sum of the areas of two circles of diameters 20cm and 48cm.
Answer : 
d = 52 cm

Question. All the vertices of a rhombus lie on a circle. Find the area of the rhombus, if area of the circle is 1256 cm2.
Answer : 
800 sq.cm

Question. Find the area of the minor segment of a circle of radius 42 cm, if length of the corresponding arc is 44 cm.
Answer : 
160 sq.cm approx.

Question. The inner circumference of a circular track is 220m.The track is 7m wide everywhere.
Calculate the cost of putting up a fence along the outer circle at the rate of Rs.2 per metre.
Answer : 
Rs.528

Question. In a circle of radius 21 cm, an arc subtends an angle of 60˚at the centre. Find the area of sector formed by the arc.
Answer : 
231 sq.cm

Question. Two circles touch externally. The sum of their areas is 130πsq.cm and the distance between the centres is 14 cm. Find the radii of the circles.
Answer : 
11cm,3 cm

Value Based Questions for the chapter “Areas related to Circles”.

Question. Ramu has a lawn in one corner of his house in the shape shown in the figure (shaded area). The corner of the house is the center of the sector. He has installed a sprinkler system to water his lawn, with the sprinkler head located at the center, instead of using a hose pipe. The central angle of the sector is 216⁰ and the inner and outer radii are 2m and 5m respectively.

CONTEXTUAL QUESTION: 

i. Find the area of the lawn to be watered.

VALUE BASED QUESTION: 

ii. Comment about the method selected by Ramu to water his lawn.

Answer : (Key points)

* Water conservation

 * Water as a precious resource

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Question. The base of a mountain is circular. Unauthorized mountain quarrying took place at the base and a sectored part of the mountain from the base to a height was removed. 

CONTEXTUAL QUESTION: 
 
i. Find the base area of the part quarried out if the central angle is 70⁰ and the radius of the sector is 21m.
 
VALUE BASED QUESTION: 
 
ii. What do you think about this act of quarrying the mountain?
 
Answer : (Key points):
 
 Indiscriminate exploitation of natural resources
 
 Affects ecological balance,
 
 Can cause landslides etc.
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Question. Sairam bought a round cake with a circular base for Christmas. He wanted to share it with his 8 friends. Two of them are 8 years old, three of them are 11 years old, and the remaining are 15 years old, same as his age. He wanted to divide the cake pieces based on the age of his friends, with older friends getting a bigger slice and decided on the ratio 1:2:4 for the age groups.
 
CONTEXTUAL QUESTION: 
 
i. If the radius of the cake is 10 cm, find the areas of the pieces he has given to each age group.
 
VALUE BASED QUESTION: 
 
ii. Comment about Sairam’s intention.
 
Answer : (Key Points)
 
* Sharing
* Fairness
* Generosity
 
Question. A sweet candy is in the shape of a quadrant OABC and a semi circular region above OB as its diameter. Ajay took away the triangular area without Vijay’s knowledge, when Vijay finds out, Ajay tells him that he has taken lesser portion of the sweet than area 2 shown in the figure.
 
CONTEXTUAL QUESTION: 
 
i. Is he true in his statement, Justify?
 
VALUE BASED QUESTION: 
 
ii. Comment about Ajay’s act and his explanation to Vijay.
 
Answer : (Key Points)
 
* Honesty
*Truthfulness
*Stealing as a wrong doing.
 
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Question. To expand its business, a company wants to buy agricultural land from farmers in the shape of a right triangle ABC as shown in the figure. The Government instructs the company to compensate the farmers by giving the land in the shape shown as Area 1 and Area 2.
 
CONTEXTUAL QUESTION: 
 
i. Are the farmers being compensated fairly? Justify.
 
VALUE BASED QUESTION:
 
ii. What do you think about the need to protect farmers’ interest in our country?
 
Answer : (Key points):
 
* Importance of agriculture
* Sustainable development.
* Significance of food production
 
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Question. In the figure shown, Mr Somu has his office located at A and his house located at B. Somu drives his car two days in a week and rides his cycle the remaining 3 days to get to his office. AOB is a sector of a circle with center O and central angle 60⁰, with radius 3.5 km. Path AOB is the route for driving the car and Path ACB is a cycle-only track.
 
CONTEXTUAL QUESTION: 
 
i. By which means of transport does Mr.Somu travel a longer distance during the 5 day week?
Justify.
 
VALUE BASED QUESTION: 
 
What do you think about Mr.Somu’s preference for cycling? What are the benefits cycles riding over car driving?
 
Answer : (Key points)
 
* Healthy choice
* Less polluting.
* Exercise good for mind and body
* Economical option (fuel costs)
 
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Chapter 03 Pair of Linear Equations in Two Variables
CBSE Class 10 Mathematics Pair of Linear Equations in Two Variables VBQs
Chapter 13 Surface Areas and Volumes
CBSE Class 10 Mathematics Surface Areas And Volume VBQs

VBQs for Chapter 12 Areas Related to Circles Class 10 Mathematics

We hope students liked the above VBQs for Chapter 12 Areas Related to Circles designed as per the latest syllabus for Class 10 Mathematics released by CBSE. Students of Class 10 should download the Value Based Questions and Answers in Pdf format and practice the questions and solutions given in above Class 10 Mathematics VBQs Questions on daily basis. All latest VBQs with answers have been developed for Mathematics by referring to the most important and regularly asked topics which the students should learn and practice to get better score in school tests and examinations. Expert teachers of studiestoday have referred to NCERT book for Class 10 Mathematics to develop the Mathematics Class 10 VBQs. After solving the questions given in the VBQs which have been developed as per latest course books also refer to the NCERT solutions for Class 10 Mathematics designed by our teachers. We have also provided a lot of other VBQs for Class 10 Mathematics which you can use to further make yourself better in Mathematics.

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