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The circular grass lawn of radius 35 mhas a path of width 7 m around it on the outside. What is the area of the path?
- a)1496m2
- b)1450m2
- c)1576m2
- d)1694m2
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The circular grass lawn of radius35mhas a path of width7maround it on ...
r = 35 m; R = 35+7=42 m
Area of circular path
= π(R+r)(R−r)
= 22/7(42+35)(42−35) = 1694m2
Most Upvoted Answer
The circular grass lawn of radius35mhas a path of width7maround it on ...
Given:
Radius of circular grass lawn = 35m
Width of the path around the lawn = 7m
To find: Area of the path
Solution:
We can find the area of the path by subtracting the area of the circular grass lawn from the area of the larger circle that includes the path.
Area of circular grass lawn = πr^2
= π(35)^2
= 3850π
Radius of larger circle = radius of circular grass lawn + width of the path
= 35 + 7
= 42m
Area of larger circle = πr^2
= π(42)^2
= 1764π
Area of the path = Area of larger circle - Area of circular grass lawn
= 1764π - 3850π
= 1914π
≈ 6010.4m²
Therefore, the area of the path is approximately 6010.4m², which is closest to option D) 1694m².
Hence, option D is the correct answer.
Radius of circular grass lawn = 35m
Width of the path around the lawn = 7m
To find: Area of the path
Solution:
We can find the area of the path by subtracting the area of the circular grass lawn from the area of the larger circle that includes the path.
Area of circular grass lawn = πr^2
= π(35)^2
= 3850π
Radius of larger circle = radius of circular grass lawn + width of the path
= 35 + 7
= 42m
Area of larger circle = πr^2
= π(42)^2
= 1764π
Area of the path = Area of larger circle - Area of circular grass lawn
= 1764π - 3850π
= 1914π
≈ 6010.4m²
Therefore, the area of the path is approximately 6010.4m², which is closest to option D) 1694m².
Hence, option D is the correct answer.
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Community Answer
The circular grass lawn of radius35mhas a path of width7maround it on ...
C
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The circular grass lawn of radius35mhas a path of width7maround it on the outside. What is the area of the path?a)1496m2b)1450m2c)1576m2d)1694m2Correct answer is option 'D'. Can you explain this answer?
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