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
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.