From a circular sheet of radius 28 cm, another circle of radius 7 cm is removed. Find the area of the remaining sheet
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Step-by-step explanation:
Area of the remaining part=Area of bigger circle−Area of the smaller circle.
Consider the bigger circle: Radius r=4 cm
Area=πr
2
=3.14×4
2
=
100
314
×16=
100
5024
=50.24 cm
2
Consider the smaller circle: Radius r=3 cm
Area=πr
2
=3.14×3
2
=
100
314
×9=
100
2826
=28.26 cm
2
Area of the remaining part=Area of bigger circle−Area of the smaller circle.
=50.24 cm
2
−28.26 cm
2
=21.98 cm
2
∴ Area of remaining sheet is 21.98 cm
2
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