Please solve the question given in the description

Asked by mac12303190 | 19th Feb, 2010, 11:43: PM

Expert Answer:

Since OB = OA = AC = BC = radaii of semicircles = 7/2 = 3.5 cm

But BOA = 90,

Hence OACB is a square.

Area of shaded black region = area of sector ACEOA - Area of triangle OAC

= (1/2)(π/2)(3.5)2 - (1/2)(3.5)(3.5)

= 3.49 cm2

Area of overlap is the TWICE OF THIS AREA = 2x3.49 = 6.98 = 7 cm2

Area of the remaining region of the quadrant = Area of quadrant - 2xarea of semicircles - Area of overlap.

= 3.14x7x7 - 2x3.14x3.5x3.5 - 7

= 72.93 cm2

Regards,

Team,

TopperLearning.

 

Answered by  | 20th Feb, 2010, 07:32: AM

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