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Question
A circular carpet whose radius is 106 cm is laid on a circular hall of radius 120 cm. Find the area of the hall uncovered by the carpet
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Solution
Radius of the circular hall R = 120 cm
Radius of the circular carpet r = 106 cm
Area of the hall uncovered = Area of the hall – Area of the carpet
= π(R2 – r2) cm2
= `22/7 xx (120^2 - 106^2) "cm"^2`
= `22/7 xx (120 + 106) xx (120 - 106) "cm"^2`
= `22/7 xx 226 xx 14 "cm"^2`
= 9,944 cm2
Area of the hall uncovered = 9,944 cm2
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