Math, asked by cpritam589, 2 months ago

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

Answers

Answered by Anonymous
7

The total cost of paving the path at the cost of 25 per meter square is Rs 4950.

Step-by-step explanation:

Question:

The daimeter of circular park is 24 m .A 3 meter runs around it from inside find the cost of paving the path at rupees 25 per square.

Given:

  • The diameter of a circular park = 24m.
  • a 3 m wide path runs around it from inside.

To Find:

The cost of paving the path at 25 per meter square.

Solution:

Here,

Area of the bigger circle will be = 12 - 3 = 9m.

Area of bigger circle = πr²

=> 22/7 × 12 × 12

=> 22×12×12/7×1×1

=> 3168/7×1×1

=> 3168/7

=> 452.57m²

Area of smaller circle = πr²

=> 22/7 × 9 × 9

=> 27×9×9/7×1×1

=> 1782/7

=> 254.57m²

Now,

The area of path = Area of bigger circle - Area of smaller circle.

=> 452.57 - 254.57

=> 198m²

Therefore,

The total cost of paving the path,

=> 198 × 5

=> Rs 4950

∴ The total cost of paving the path at the cost of 25 per meter square is Rs 4950.

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