Question

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 1

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

Answer 2

Answer:

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

SwatiAnurish