Q. 204.4( 30 Votes )

Find the area of

Answer :

Given:

Length of rectangle = 8 cm


Breadth of rectangle = 6 cm


Area of rectangle = length × breadth


= 8 × 6 = 48 cm2


Consider ABC,


By Pythagoras theorem,


AC2 = AB2 + BC2


= 82 + 62 = 64 + 36 = 100


AC = √100 = 10 cm


Diameter of circle = 10 cm


Thus, radius of circle = = 5 cm


Let the radius of circle be r = 5 cm


Then, Area of circle = πr2


= × 5 × 5 = = = 78.57 cm2


Area of shaded region = Area of circle – Area of rectangle


= 78.57 - 48


= 30.57 cm2


Hence, the area of shaded region is 30.57 cm2.

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