A circular path runs around a circular flower bed.
If the circumference of the flower bed and path
are 88 m and 132 m respectively, find the width
of the path. Also, find the area of path.
Answers
Answered by
37
given
- Circumference of flower bed = 88m
- Let the radius of flower bed = r
- 2×22/7×r = 88
- r = 14m
- Circumference of circular path = 132m
- Let the radius of circular path = R
- 2×22/7×R = 132
- R = 21m
- width of circular path = R - r = 21 - 14
- = 7m
- Area of path = area of circular path - area of flower bed
- = 22/7×21×21 - 22/7×14×14
- =1386 - 616
- = 770 m
Answered by
6
Step-by-step explanation:
Outer circumference = 132cm.
= 2πr = 132
= 2×22/7×R= 132
= R = 132×7/44
= R = 21cm.
Inner circumference = 88cm.
= 2πr = 88
= 2×22/7×r = 88
= 44/7×r = 88
= r = 88×7/44
= r = 14cm.
Therefore,width of the path = R-r
= 21-14 = 7cm.
Area of the path = πr²-πr²
= π ( R²-r²)
= ((21)²-(14)²)
=22/7 (441-196)
= 22/7(246)
=22×35
=770cm².
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