A circular plot of ground of radius 42 metres is surrounded by a ring of grass plot.Find the width of the grass plot, if it's area is equal to that of the circular plot.
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let x be the width
area of plot=pi*42²
area of path= pi*((x+42)²-42²)
area of path=area of plot
hence,
(x+42)²-42²=42²
x=42(√2-1)=17.4m
area of plot=pi*42²
area of path= pi*((x+42)²-42²)
area of path=area of plot
hence,
(x+42)²-42²=42²
x=42(√2-1)=17.4m
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