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# Find the Area of the Shaded Portion in Each of the Following Diagrams : - Mathematics

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Sum

Find the area of the shaded portion in each of the following diagrams :

(i)

(ii)

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#### Solution

(i)

Radius of circle, r = 7 cm

∴ Side of square = 7 + 7 = 14 cm

Area of circle = pir^2

= 22/7 xx 7xx 7

= 154 cm2

Area of square = 14 xx 14

= 196 cm2

∴ Area of shaded portion = 196 - 154

= 42 cm2

(ii)

Radii of concentric circles are

r_1 = 4.5m

r_2 = 2.5m

∴ Area of shaded portion = pir_1^2 - pir_2^2

= pi[r_1^2 - r_2^2] = 22/7[(4.5)^2 - (2.5)^2]

= 22/7 xx (4.5 + 2.5) (4.5 - 2.5)

= 22/7 xx 14 = 44 cm2

Concept: Area of Circle
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#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 20 Area of a Trapezium and a Polygon
Exercise 20 (D) | Q 6 | Page 234
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