From a square metal sheet of side 5cm, three circular plates of radii 1/2 cm, 1 cm and 1.5 cm are cut. If the area of the remaining part is equal to the area of the circle ( in cm^2) is what ?
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Answer:
Area of square sheet = (28)
2
=784cm
2
The largest circle of diameter equals to the side of square can be cut off from the square sheet.
∴ Radius of circular sheet =
2
28
=14cm
Area of remaining sheet = 784−πr
2
=784−
7
22
×14×14
= 784−616 = 168cm
2