Ex 12.3, 16
Calculate the area of the designed region in figure common between the two quadrants of circles of radius 8 cm each.
Area of designed region
= Area of 1st quadrant
+ Area of 2nd quadrant
Area of square
Area of 1st quadrant = /360 2
= 90/360 22/7 82
= 1/4 22/7 8 8
= 22/7 2 8
= 352/7 cm2
For 2nd quadrant,
As radius and angle are same
Area of 2nd quadrant = Area of 1st quadrant
= 352/7 cm2
Now ,
Area of square = side side
= 8 8
= 64 cm2
Area of designed region = Area of 1st quadrant + Area of 2nd quadrant
Area of square
= (352/7+352/7 64)
= ((352 +352 64 7)/7)
= ((704 448)/7) = 256/7 cm2

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.