CBSE Class 10 Mathematics Area Related To Circle Worksheet Set A

Read and download free pdf of CBSE Class 10 Mathematics Area Related To Circle Worksheet Set A. Download printable Mathematics Class 10 Worksheets in pdf format, CBSE Class 10 Mathematics Chapter 12 Areas related to Circles Worksheet has been prepared as per the latest syllabus and exam pattern issued by CBSE, NCERT and KVS. Also download free pdf Mathematics Class 10 Assignments and practice them daily to get better marks in tests and exams for Class 10. Free chapter wise worksheets with answers have been designed by Class 10 teachers as per latest examination pattern

Chapter 12 Areas related to Circles Mathematics Worksheet for Class 10

Class 10 Mathematics students should refer to the following printable worksheet in Pdf in Class 10. This test paper with questions and solutions for Class 10 Mathematics will be very useful for tests and exams and help you to score better marks

Class 10 Mathematics Chapter 12 Areas related to Circles Worksheet Pdf

ASSERTION AND REASONING

Question. Assertion : If a wire of length 22 cm is bent in the shape of a circle, then area of the circle so formed is 40 𝑐m2.
Reason : Circumference of the circle = length of the wire.
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true
Answer : D

Question. Assertion : In a circle of radius 6 cm, the angle of a sector is 60° Then the area of the sector is 18 67 cm2.
Reason : Area of the circle with radius 𝑟 is 𝜋𝑟2 .
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.
Answer : B

Question. Assertion : If the circumference of a circle is 176 cm, then its radius is 28 cm.
Reason : Circumference= 2 × 𝜋 × 𝑟𝑎𝑑𝑖𝑢𝑠
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.
Answer : A

Question. Assertion : If the outer and inner diameter of a circular path is 10 m and 6 m then area of the path is 16𝜋 m2 .
Reason : If R and r be the radius of outer and inner circular path, then area of path is 𝜋(𝑅2− 𝑟2)
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) ) Assertion (A) is false but reason (R) is true
Answer : A

Question. Assertion : The area of circular playground is 22176 m2 the cost of fencing this ground at the rate Rs. 50 per metre is Rs. 26400
Reason : If R and r be the radius of outer and inner circular path ,then the area of the ring will be π(R2– r2)
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.
Answer : B

 

CASE STUDY QUESTION 

Q1. Raksha Bandhan, is a popular annual rite, or ceremony, which is celebrated in South Asia, and in other parts of the world significantly influenced by Hindu culture. On this day, sisters of all ages tie a talisman, or amulet, called the rakhi, around the wrists of their brothers, symbolically protecting them, receiving a gift in return, and traditionally investing the brothers with a share of the responsibility of their potential care..

""CBSE-Class-10-Mathematics-Area-Related-To-Circle-6
Observe the 2 designs of Rakhi
Design A: Rakhi A is made with silver wire in the form of a circle with diameter 28mm. The wire used for making 4 diameters which divide the circle into 8 equal parts.
Design B: Rakhi B is made of two colours - Gold and silver. Outer part is made with Gold. The circumference of silver part is 44mm and the gold part is 3mm wide everywhere.

Refer to Design A

(a). Find the total length of silver wire required
Answer : 200 mm

(b) Find the area of each sector of the Rakhi
Answer : 77 mm2

Refer to Design B

(c) Find the circumference of outer part (golden)
Answer : 62.86 mm

 

Q. If the perimeter of a semi-circular protractor is 66 cm, find the diameter of the protractor (Take π = 22/7).
Answer : Let the radius of the protractor be r cm. Then,
Perimeter = 66 cm
= 1/2(2 π r) = 66
[( Perimeter of semi circle 1/2(2 π r)]
 πr = 66
=22/7 × r = 66
r = 21 cm
Diameter of the protractor = 2r = (2 × 21) cm
= 42 cm
 
Q. The circumference of a circle exceeds the diameter by 16.8 cm. Find the radius of the circle.
Answer : Let the radius of the circle be r cm. Then,
Diameter = 2r cm and Circumference = 2π r cm
It is given that the circumference exceeds the diameter by 16.8 cm
Circumference = Diameter + 16.8
2πr = 2r + 16.8
2 × 22/7 × r = 2r + 16.8 [ π=22/7]
44r = 14r + 16.8 × 7
=44r – 14r = 117.6
30 r = 117.6 
= r = 117.6/30 
= 3.92 
Hence, radius = 3.92 cm
 
 
 
CBSE Class 10 Mathematics Area Related To Circle Worksheet Set A 1
CBSE Class 10 Mathematics Area Related To Circle Worksheet Set A 2
CBSE Class 10 Mathematics Area Related To Circle Worksheet Set A 3
CBSE Class 10 Mathematics Area Related To Circle Worksheet Set A 4

 

Please click on below link to download CBSE Class 10 Mathematics Area Related To Circle Worksheet Set A

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