Question

The diameter of a circular park is 140 m. Around it on the outside, a path having the
width of 7 m is constructed. If the path has to be fenced from inside and outside at the
rate of rupees7 per metre, find its total cost.
217​

Answer 1

Step-by-step explanation:

We have to find the inside distance and outside distance.

for inside distance , radius = 140/2 =70 m

length of circumference =2π×radius

=2×(22/7)×70

=440 m

now, outside distance

radius = 70 +7 = 77 m

length of circumference = 2π× radius

= 2×(22/7)×77

= 484 m

total length = 440 +484 =924 m

cost = Rs 7× 924 = Rs 6468

Answer 2

Answer:

$\underline{ \sf{ \underline{Given:}}}$

• Diameter of circular park = 140m
• width = 7m

$\underline{ \sf{ \underline{Find:}}}$

• Total cost

$\underline{ \sf{ \underline{Solution:}}}$

For inside distance:-

Diameter = 140m

We know that ⬇️

${ \boxed{ \sf{Diameter = 2 \times Radius}}}$

So, Radius = 70m

From ⬇️

${ \boxed{ \sf{Circumference = 2πr}}}$

${ \implies{2 \times \frac{22}{7} \times 70 = 440m}}$

Therefore Circumference of inside = 440m

For outside distance:-

Radius = 70+7 = 77

Circumference = 2πr

${ \implies{2 \times \frac{22}{7} \times 77 = 484m}}$

Therefore Circumference of outside = 484m

Total length = 440+484 = 924

Cost = 7 × 924 = 6468

${ \therefore{ \sf{Total \: cost \: = Rs.6468}}}$

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