1.

A square sheet of maximum area is cut out from a circular piece of cardboard of radius 21cm.Find the area of the remaining cardboard.

Answer»

Answer:

504cm²

Step-by-step EXPLANATION:

maximum area of square that is cut from CIRCLE has DIAGONAL equal to diameter of circle

so, diameter=21×2=42

since it is diagonal of square

so, a√2=42

a=21√2

area of square=21√2×21√2=882

now, area of circle=πr²=22×441/7=1386cm²

area of REMAINING cardboard=1386-882=504cm²



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