Class 10 Area

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Class 10 Area


Answer:- 

As per the Diagram
EC = BC (Radius in Sector BGEC) 
Hence EC = 7 Cm. 
DE = 4 cm Given 
DC = DC + EC 
= 4 CM + 7 CM = 11 cm 
Area of trapezium ABCD 
= (1/2) *( Sum Of ||el sides) * (Height)
= (1/2) * (AB+DC) *(BF) 
=(1/2) * (7 cm + 11 cm ) * (3.5 cm ) 
= 0.5 * 18 cm * 3.5 cm 
= 9 cm * 3.5 cm 
= 31.50 cm2 
Area of Sector BGEC :- 
(O/360) *( pi *r*r) 
= (30/360) *(22/7*7*7)
(1/12) * (22*7) 
= 12.83 cm2 
Area Of shaded portion = Area of trapezium - Area of Sector 
= 31.50 cm2 - 12.83 cm2 
= 18.67 cm2 
Hence the Right answer is (d). 
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