Question

10. A circular garden with diameter 220 m has a circular path of uniform width 7 m inside its boundary
Find the area of the path​

Answer 1

Step-by-step explanation:

Radius of the circular garden, r= 2/210

=105m

Radius of the region covering the garden and the path, R=105m+7m=112m

Area of the region between two concentric circles

with radius of outer circle R, and inner circle r =π(R ^2 −r ^2 )

Hence, the area of the path =π(112 ^2 −105 ^2 )= 7/22

(12544−11025)= 7/33418

=4774^2m

Answer 2

area of total garden= π×r²

= 22/7×220/2×220/2

=76057.14m²

area of path= area of park- area of park excluding path

area of path= 76057.14-(22/7×(110-7)×(110-7))

area of path= 76057.14-33342.57

area of path= 42714.56m²