From a circular sheet of radius 4 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet. (Take π = 3.14)
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Answer:
21.98 cm2
Step-by-step explanation:
Radius of circular sheet (r₁) = 4 cm
Radius of removed circle (r₂) = 3 cm
Area of remaining sheet = Area of circular sheet – Area of removed circle = πr₁2 - πr₂2
= π (r₁2 - r₂2)
= 3.14 (42 - 32) cm2
= 3.14 (16 - 9) cm2
= 3.14 × 7 cm2
= 21.98 cm2
Thus, the area of the remaining sheet is 21.98 cm2.
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