there is a circular flower bed of radius 30 metre there is a 10 metre wide running track around what is the area of the running track
Answers
..QUESTION..
There is a circular flower bed of radius 30 m . There is also a 10 m wide running track around the flower bed . What is the area of the Track ?
..ANSWER..
Given ,
ㅤㅤㅤ➪ Radius of the flower bed = 30m
ㅤㅤㅤ➪ Width of the track = 10 m
☯︎ To find » Area of the track
°•° The radius of the bed is given
•°• Area of the flower bed
ㅤㅤㅤ➪ π r²
ㅤㅤㅤ➪ 22/7 × ( 30 )²
ㅤㅤㅤ➪ 22/7 × 900
ㅤㅤㅤ➪ ( 22 × 900 ) / 7
ㅤㅤㅤ➪ 19800 / 7
ㅤㅤㅤ➪ 2828.57
•°• Area of the flower bed = 2828.57 m²
> We are given that » track width = 10 m
•°• Radius of the bed including the track =
ㅤㅤㅤ➪ 30 m + 10 m
ㅤㅤㅤ➪ 40 m
•°• Area of the bed including track =
ㅤㅤㅤ➪ π r²
ㅤㅤㅤ➪ 22/7 × 40²
ㅤㅤㅤ➪ 22/7 × 1600
ㅤㅤㅤ➪ ( 22 × 1600 ) / 7
ㅤㅤㅤ➪ 35200 / 7
ㅤㅤㅤ➪ 5028.57
Now ,
» Track area = Total area - Bed area
➪ Track area = 5028.57 - 2828.57
➪ Track area = 2200
•°• Track area ➪ 2200 m²
_____________________
Give a look here ,
- FORMULAS
☯︎ Circumference of circle ➪ 2πr
☯︎ Area of circle ➪ π r²
☯︎ Perimeter of square ➪ 4 s
☯︎ Area of square ➪ s²
☯︎ Perimeter of rectangle ➪ 2 (l + b)
☯︎ Area of rectangle ➪ l × b
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