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NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.3

December 26, 2018 by Dattu

NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.3 are part of NCERT Solutions for Class 10 Maths. Here are we have given Chapter 12 Areas Related to Circles Class 10 NCERT Solutions Ex 12.3.

  • Areas Related to Circles Class 10 Ex 12.1
  • Areas Related to Circles Class 10 Ex 12.2

 

BoardCBSE
TextbookNCERT
ClassClass 10
SubjectMaths
ChapterChapter 12
Chapter NameAreas Related to Circles
ExerciseEx 12.3
Number of Questions Solved16
CategoryNCERT Solutions

NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.3

NCERT Solutions for Class 10 Maths

Page No: 234

Unless stated otherwise, use π =22/7

Question 1.
Find the area of the shaded region in Fig. 12.19, if PQ = 24 cm, PR = 7 cm and O is the centre of the circle.

Solution:
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 1s
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 1s1

Question 2.
Find the area of the shaded region in Fig. 12.20, if radii of the two concentric circles with centre O are 7 cm and 14 cm respectively and ∠AOC = 40°.

Solution:
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 2s
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 2s1

Question 3.
Find the area of the shaded region in Fig. 12.21, if ABCD is a square of side 14 cm and APD and BPC are semicircles.

Solution:
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 3s
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 3s1

Question 4.
Find the area of the shaded region in Fig. 12.22, where a circular arc of radius 6 cm has been drawn with vertex O of an equilateral triangle OAB of side 12 cm as centre.

Solution:
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 4s
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 4s1

Question 5.
From each corner of a square of side 4 cm a quadrant of a circle of radius 1 cm is cut and also a circle of diameter 2 cm is cut as shown in Fig. 12.23. Find the area of the remaining portion of the square.

Solution:
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 5s
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 5s1

Question 6.
In a circular table cover of radius 32 cm, a design is formed leaving an equilateral triangle ABC in the middle as shown in Fig. 12.24. Find the area of the design.

Solution:
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 6s
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 6s1

Page No: 236

Question 7.
In Fig. 12.25, ABCD is a square of side 14 cm. With centres A, B, C and D, four circles are drawn such that each circle touch externally two of the remaining three circles. Find the area of the shaded region.

Solution:
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 7s
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 7s1

Question 8.
Fig. 12.26 depicts a racing track whose left and right ends are semicircular.
The distance between the two inner parallel line segments is 60 m and they are each 106 m long. If
the track is 10 m wide, find :
(i) the distance around the track along its inner edge
(ii) the area of the track.

Solution:
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 8s
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 8s1

Question 9.
In Fig. 12.27, AB and CD are two diameters of a circle (with centre O) perpendicular to each other
and OD is the diameter of the smaller circle. If OA = 7 cm, find the area of the shaded region.

Solution:
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 9sNCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 9s1

Question 10.
The area of an equilateral triangle ABC is 17320.5 cm2. With each vertex of the triangle as centre, a circle is drawn with radius equal to half the length of the side of the triangle (see Fig. 12.28). Find the area of the shaded region. (Use π = 3.14 and √3 = 1.73205)

Solution:
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 10s
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 10s1

Question 11.
On a square handkerchief, nine circular designs each of radius 7 cm are made (see Fig. 12.29). Find the area of the remaining portion of the handkerchief.

Solution:
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 11s

Question 12.
In Fig. 12.30, OACB is a quadrant of a circle with centre O and radius 3.5 cm. If OD = 2 cm, find the area of the
(i) quadrant OACB,                       (ii) shaded region.

Solution:
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 12s
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 12s1

Question 13.
In Fig. 12.31, a square OABC is inscribed in a quadrant OPBQ. If OA = 20 cm, find the area of the shaded region. (Use π = 3.14)

Solution:
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 13s

Question 14.
AB and CD are respectively arcs of two concentric circles of radii 21 cm and 7 cm and centre O (see Fig. 12.32). If ∠AOB = 30°, find the area of the shaded region.

Solution:
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 14s
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 14s1

Question 15.
In Fig. 12.33, ABC is a quadrant of a circle of radius 14 cm and a semicircle is drawn with BC
as diameter. Find the area of the shaded region.

Solution:
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 15s
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 15s1

Page No: 238

Question 16.
Calculate the area of the designed region in Fig. 12.34 common between the two quadrants of circles of radius 8 cm each.

Solution:
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 16s
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles ex 12.3 16s1

We hope the NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.3 help you. If you have any query regarding NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.3, drop a comment below and we will get back to you at the earliest.

Filed Under: CBSE Tagged With: NCERT Solutions for Class 10 Maths

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