two circular pieces of equal radii and maximum area, touching each other are cut out from a rectangular cardboard of dimensions 14cm x 17 cm . Find the area of remaining card board?

## EXPERT ANSWER

Usha Kalva Kalva , Meritnation Expert added an answer, on 10/1/14

I think it is 14*7 instead of 14*17.

Since each circle has maximum area,

diameter of each circle = half of length = 7 cm

radius of each circle = 3.5 cm

Area of each circle =${\mathrm{\pi r}}^{2}=\frac{22}{7}*3.{5}^{2}=38.5{\mathrm{cm}}^{2}$

Area of both circles = 38.5*2=77 cm

Total area = 14*7=98 cm

Remaining area =98-77=21cm

Since each circle has maximum area,

diameter of each circle = half of length = 7 cm

radius of each circle = 3.5 cm

Area of each circle =${\mathrm{\pi r}}^{2}=\frac{22}{7}*3.{5}^{2}=38.5{\mathrm{cm}}^{2}$

Area of both circles = 38.5*2=77 cm

^{2}Total area = 14*7=98 cm

^{2}Remaining area =98-77=21cm

^{2}
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