A circular flower bed is surrounded by a path 5 m wide. The diameter of the flower bed is 65 m. What is the area of this path? (useπ= 3.14)
Answers
Step-by-step explanation:
Path is 5m wide
and radius of Circular flower bed = 32.5
Area of Flower bed = πr²
3.14 * (32.5)²
= 3316.625 m²
Path is circular whose width is 5m which means we have to add 5 more to radius since path is circular too we have to find its area and subtract area of Flower bed to get area of path
r+5
= 32.5+5
R=37.5m
Our new radius is 37.5m
Now area of bigger circle = πR² (R is new radius)
= 3.14 * (37.5)²
=3.14 * 1406.25
=4415.625m²
Now area of path= Area of bigger circle - Area of flower bed
= 4415.625-3316.625
= 1099m²
Area of path is 1099m²
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Instruction =In this Answer the path is 4 m wide and the diameter of flower bed is 66 m
It's mean their are two circle from one centre one is flower bed and second is the path
Area of path=Area of larger circle-Area if flower bed
Let find the radius of larger an smaller circle
Smaller circle
diameter of flower bed=d=66m
Radius of flower bed=diameter/2
=66/2
=33m
Larger circle
Radius of larger circle =radius of bed+width of path
33+4
37m
Area of larger circle=πr^2
=π[37]^2
1369πcm2
Area of smaller circle
πr2
π33^2
1089π
Area of path =area of larger circle -Area of sampler circle
=1369π-1089π
={1369-1089}π
=280*3.14
=280*314
___
100
=28*314
___
10
=8792
_____
10
=879.2m^2
π