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A path of 4m width run …

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A path of 4m width run around the semi-circular grassy plot whose circumference is 16337 find area of path

  • 1 answers

Sia ? 6 years ago


Let x be the radius of the semi-circular grassy plot.
Given,
Circumference of grassy plot = 16337m
2r+πr=16337m=11447m
(2+π)r=11447m
367r=11447m
r=114436=2869m
 Radius of semi-circular grassy plot =2869m
Then, radius of outer semi-circle =2869m+4m=3229m
Area of path = Area of outer semi-circle - Area of inner semi-circle
=12π(3229)212π(2866)2
=12π(3229+2869)(32292869)
=12×227×6089×369
= 424.63m2

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