Question

There is a pavement all around the inner boundary of a circular park radius 14 meter.the radius of the circular region of the park excluding the pavement is 10 meter.find the width of the pavement and its area.

Answer 1

Answer:

301.7 $m^{2}$

Step-by-step explanation:

The radius of the circular park including the pavement = 14 meters.

The radius of the circular park excluding the pavement = 14 meters.

So, the width of the pavement = Radius of the park including the pavement  — Radius of the park excluding the pavement .

                                               = 14 — 10

                                               = 4 meters.

Area of a circle = π$r^{2}$, where r is the radius of the circle.

Area of the circular park including the pavement = 22/7 x $14^{2}$

                                                                                 = 616 $m^{2}$

Area of the circular park excluding the pavement = 22/7 x $10^{2}$

                                                                                   = 314.3 $m^{2}$

Area of the pavement = Area of the circular park including the pavement - Area of the circular park excluding the pavement

                                    = 616 - 314.3

                                    = 301.7 $m^{2}$