Question

the radius of circular path is 4.2 m . A path of 1.4 m wide is made around the circular park . find the area of path

Answer 1

area of the circle =πr^2,r=4.2 m
A=22/7 X 4.2 X 4.2 = 55.4 m^2
therefore the area of the path = π(R+r) ^2
=22/7 (4.2+1.4)^2
=22/7 X 5.6 X 5.6
= 98.56m^2

Answer 2

correcting the question as "Circular Park" instead of "circular path" (1st line)

Radius (R) of circular park = 4.2 m

Therefore, Area of the circular park = πr² = 22/7 * 4.2 * 4.2
                                                         = 55.44 m²

Width (r) of the circular path = 1.4 m

Area of the circular park including the circular path = π(R + r)² sq.m
                                                                                 = 22/7 * (4.2 + 1.4)²
                                                                                 = 22/7 * 5.6 * 5.6
                                                                                 = 98.56 m²

Area of Path = Area of the park incl. path - Area of the path
                     = 98.56 - 55.44
                     = 43.12 m²

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