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Find the area of shaded region of circle of radius =7cm, if ∠AOB=70o, ∠COD=50o and ∠EOF=60o. (Ans:77cm2)
Ans: Ar( Sector AOB + Sector COD + Sector OEF)
= 70/360 Π x 72 + 50/360 Π x 72 + 60/360 Π x 72
49 Π ( 7/36 +5/36 + 6/36 ) = 49 Π x 18/36 = 49/2 x 22/7 = 77 cm2
Multiply and divide by root2, then root2/root2(sinx+cosx) = root2(sinx/root2 + cosx/root2) = root2(sinx cos45+cosx sin45) = root2(sin(x+45))
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