area

In a circle with center O , OA , OB r radii angle AOB = 90 degrees . A semi circle (S1) is constructed using segment AB as its diameter non - overlapping with triangle OAB . The ratio of the area of S1 outside given circle to the area of triangle OAB is equal to

(A) 1/2

(B) pi/4

(C) 1

(D) none of these

plzzzz give the full soln........

3 Answers

23
qwerty ·

area of sector OAB = r2θ2 = 14πr2

area of Δ AOB = r22

area common between Semicircle and circle = 14Ï€r2 - r22

area of semicircle = 12 π (r2)2 = 14πr2

area of semicircular part outside circle = 14Ï€r2 - ( 14Ï€r2 - r22)= r22

hence ratio = 1

6
AKHIL ·

hmmmm

found a little difficult to visualise it but turned out to be pretty straight forward in the end

thnx qwerty!!:)

1
sahil jain ·

ans. Is c i.e. 1

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