The diameter of a circular park is 140m.around it on the outside,a path having the width of 7m is constructed.if the path has to be fenced from inside and outside at the rupees 7 per meter,find its total cost.
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Answered by
8
Solution :-
Diameter of inside circle =140m.
Radius = 140/2 = 70 m.
length of circumference = 2π × Radius
= 2×22/7 × 70
= 440m.
Width of the path = 7m.
So,
Radius of the outer circle = 70+7= 77m
Length of the circumference = 2π × Radius
= 2 × 22/7 × 77
= 484m
Total length = 440 + 484 = 924 m.
cost of fencing per metre = 7 Rs.
Total cost of fencing the inside and outside of the circle = 924 × 7
= Rs. 6468 Ans.
Diameter of inside circle =140m.
Radius = 140/2 = 70 m.
length of circumference = 2π × Radius
= 2×22/7 × 70
= 440m.
Width of the path = 7m.
So,
Radius of the outer circle = 70+7= 77m
Length of the circumference = 2π × Radius
= 2 × 22/7 × 77
= 484m
Total length = 440 + 484 = 924 m.
cost of fencing per metre = 7 Rs.
Total cost of fencing the inside and outside of the circle = 924 × 7
= Rs. 6468 Ans.
Answered by
5
Outer Diameter = 140 m.
⇒ Outer Radius = 140/2 = 70 m.
Perimeter of the Circle = 2πr
= 2 × 22/7 × 70
= 440 m.
∴ Cost of Fencing the Outer Part = 440 × Rs.7
= Rs.3080
Now,
Inner Radius = 70 + 7 = 77 m.
∴ Inner Perimeter = 2 × 22/7 × 77
= 44 × 11
= 484 m.
∴ Cost of Fencing the Inner Part = 484 × Rs. 7
= Rs. 3388
∴ Total cost of Fencing the the Inside and Outside of the Circle = 3080 +3388
= Rs. 6468.
Hope it helps.
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