Question

the diameter of a circle park is 24m.A3m wide path runs around it from inside . find the cost of paving the path at rs 25 per square meter​

Answer 1

Answer:

Since the Diameter = 24m.

The Radius will be =  $\frac{D}{2}$

                               = $\frac{24}{2}$

                              = 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

                                                        = 9 m.

Area of bigger circle = πr²  

                                  = $\frac{22}{7}$× 12 × 12

                                 = 452.57m²

Area of smaller circle = πr²

                                    = $\frac{22}{7}$ × 9 × 9

                                   = 254.57m²

So the area of path = Area of bigger circle − Area of smaller circle

            452.57 − 254.57

          =  198m²

The total cost = 198 × 25

                      = Rs. 4950

Step-by-step explanation: