Question

The diameter of a circular park is 24 m. A 3 m wide path
runs around it from inside. Find the cost of paving the
path at 25 per square meter.​

Answer 1

Answer:

• Cost of paving the path = Rs. 4945.5.

Step-by-step explanation:

Given:

• Diameter of bigger circle = 24 m
• Radius of bigger circle = 12 m
• 3 m wide path  runs around it from inside.
• Diameter of smaller circle = 24 - 6 m = 18 m
• Radius of smaller circle = 9 m

To Find:

• Cost of paving the path.

Now, Area of path = Area of larger circle - Area of smaller circle

⇒ Area of larger circle = πr²

⇒ Area of larger circle = 3.14 × 12 × 12

⇒ Area of larger circle = 452.16 m² (Approx)

⇒ Area of smaller circle = πr²

⇒ Area of smaller circle = 3.14 × 9 × 9

⇒ Area of smaller circle = 254.34 m² (Approx)

Now, Area of path = Area of larger circle - Area of smaller circle

⇒ Area of path = 452.16 - 254.34

⇒ Area of path = 197.82 m² (Approx)

If cost of paving 1 m² path = Rs. 25

So, cost of paving 197.82 m² path = 25 × 197.25 = Rs. 4945.5

Hence, cost of paving the path = Rs. 4945.5.

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