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 rupees 25 per square metre

Answer 1

Answer: Rs. 4950

Step-by-step explanation:

Outer radius (of the garden)=(r) 12m

Inner radius (of the path )=(R) 9 m

Area of path = Area of garden(outer circle) - area of inner circle

= πr²-πR²

=π(r²-R²)

=22/7(144-81)

=22/7(63)

22x9

=198 m²

1 m²= Rs. 25

198 m² = 198x25

=Re.4950

Answer 2

Step-by-step explanation:

Since the Diameter of circular park = 24m

. The Radius will be = D/2= 24/2 = 12m.

It is given that a 3m wide path runs around it from 'inside'.

Therefore, the Radius of the bigger circle will be 12-3= 9m

Area of bigger circle= pi r2 = 22/7 * 12 * 12 = 452.57m2

Area of smaller circle = pi r2 = 22/7 * 9 * 9 = 254.57m2

So the area of path= Area of bigger circle- Area of smaller circle = 452.57- 254.57 = 198 m2 The total cost of paving the path= 198* 25= Rs. 4950

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