Question

The inner circumference of a circular track is 220 m. The track is 7 m wide everywhere. Calculate the cost of putting a fence along the outer circle at the rate if rupee 2 per meter.
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Answer 1

Answer:

The Cost of Fence = Rs 528

Step-by-step explanation:

Given:

r = inner radius

Inner Circumference of a Circular track = 220 m

Length of Track = 7m

Solution:

Inner Circumference of a Circular track = 220 m

                                                          $2\pi r$  = 220 m

                                                  $2*\frac{22}{7}*r=$ 220 m

                                                              $r = \frac{220 * 7}{22*2}\\\\r=\frac{10*7}{2}\\\\r=5*7\\r=35m$

R= Radius of Outer Circle (Track included)

R = r+ 7m

R = 35m + 7m

R = 42m

Outer Circumference of a Circular track =  $2\pi R$

                                                                  =   $2*\frac{22}{7}*R$

                                                                  =   $2*\frac{22}{7}*42m$

                                                                  =  2 * 22 * 6

                                                                  = 246m

The Cost of putting a Fence along the outer circle at the rate if Rupee 2 per meter:

1 m = Rs 2

264m = Rs 264 * 2

          = Rs 528

                                 Ans.