Answer:
Area of the side walk = 151 [tex]m^{2}[/tex]
Step-by-step explanation:
Given: Diameter of circular flower bed = 22 m
Width of circular side walk = 2 m
[tex]\pi[/tex] = 3.14
Area of the side walk = area of flower bed with side walk - Area of flower bed
Area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]
where r is the radius of the circle.
i. For the circular flower bed, diameter = 22 m. So that,
radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{22}{2}[/tex] = 11 m
Area of circular flower bed = [tex]\pi[/tex][tex]r^{2}[/tex]
= 3.14 x 11 x 11
= 379.94
Area of the circular flower bed = 380 [tex]m^{2}[/tex]
ii. For the flower bed with side walk, diameter = 26 m. So that,
radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{26}{2}[/tex] = 13 m
Area of flower bed with side walk = [tex]\pi[/tex][tex]r^{2}[/tex]
= 3.14 x 13 x 13
= 530.66
Area of flower bed with side walk = 531 [tex]m^{2}[/tex]
Area of the side walk = 531 - 380
= 151 [tex]m^{2}[/tex]
