RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 18. Area of Circle, Sector and Segment

Subject: Maths - Class 10th

Q. No. 31 of Exercise 18A

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31

In the given figure, find the area of the shaded region, if ABCD is a square of side 14 cm and APD and BPC are semicircle.

Given:

Side of square = 14 cm


Diameter of each semicircle = 14 cm


Radius of each semicircle = = 7 cm


∵ Both the semicircles have same radius.


∴ We consider one circle of radius 7 cm.


Area of shaded region = Area of square – Area of circle ….……. (i)


Area of square = side × side


= 14 × 14 = 196 cm2


Area of circle = πr2


= × 7 × 7 = 22 × 7 = 154 cm2


Thus, using (i), we have


Area of shaded region = 196 – 154 = 42 cm2


Hence, the area of shaded region is 42 cm2.


Chapter Exercises

Exercise 18A
Exercise 18B
Multiple Choice Questions (MCQ)
Formative Assessment (Unit Test)

More Exercise Questions

1

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2

The circumference of a circle is 22 cm. Find the area of its quadrant.
3

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4

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5

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6

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7

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8

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9

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10

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11

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12

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13

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14

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15

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16

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17

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18

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19

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20

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21

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22

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23

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24

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25

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26

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27

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28

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29

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30

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31

In the given figure, find the area of the shaded region, if ABCD is a square of side 14 cm and APD and BPC are semicircle.
32

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33

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34

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35

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36

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37

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38

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39

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40

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41

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42

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43

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44

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45

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46

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47

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48

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49

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50

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51

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