a lawn in shape of semicircle of d=7m .it is surrounded by a flowerbed of width 0.7m all around find area of flower bed in m2
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In figure,
diameter of larger semicircle = 7+0.7+0.7 = 8.4
radius of larger semicircle = 4.2 (R)
diameter of smaller semicircle = 7
radius of smaller semicircle = 3.5 (r)
Now,
Area of flower bed = Area(larger semicircle) - Area(smaller semicircle)
3πR² - 3πr²
3π ( R²-r²) (taking 3π as common)
3π ( 17.64-12.25)
3π (5.39)
3*22/7*5.39
3*22*0.77
= 50.82 m²
therefore, the area of flower bed = 50.82 m²
diameter of larger semicircle = 7+0.7+0.7 = 8.4
radius of larger semicircle = 4.2 (R)
diameter of smaller semicircle = 7
radius of smaller semicircle = 3.5 (r)
Now,
Area of flower bed = Area(larger semicircle) - Area(smaller semicircle)
3πR² - 3πr²
3π ( R²-r²) (taking 3π as common)
3π ( 17.64-12.25)
3π (5.39)
3*22/7*5.39
3*22*0.77
= 50.82 m²
therefore, the area of flower bed = 50.82 m²
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