a circular flower bed is surrounded by a path 4 cm wide.The diameter of the flower bed is 66 cm.Find the area of the path.
Answers
diameter of flower bed=66cm
so radius=66/2=33cm
area of the flower bed with the path
=πr²=22/7*37²
area of the flower bed=πr²=22/7*33²
area of the path= area of the flower bed with the path-area of the flower bed
=22/7*37²-22/7*33²
=22/7(37²-33²) (distributive property of multiplication over subtraction)
=22/7(37+33)(37-33) (∵ a²-b²=(a+b)(a-b) (law of exponents)
=22/7(70)(4)
=22(10)(4)
=880cm²
You can also calculate the areas first and then subtract. I used this method to make my calculation easier.
//Hope you understand, and sorry if I'm wrong...//
diameter of flower bed=66cm
so radius=66/2=33cm
area of the flower bed with the path
=πr²=22/7*37²
area of the flower bed=πr²=22/7*33²
area of the path= area of the flower bed with the path-area of the flower bed
=22/7*37²-22/7*33²
=22/7(37²-33²) (distributive property of multiplication over subtraction)
=22/7(37+33)(37-33) (∵ a²-b²=(a+b)(a-b) (law of exponents)
=22/7(70)(4)
=22(10)(4)
=880cm²
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