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
Answer:
Diameter of the circular flower bed=66m
∴ Radius of circular flower bed(r)=266=33m
∴ Radius of circular flower bed with 4 m wide path(R)=33+4=37m
According to the question,
Area of path=Area of bigger circle−Area of smaller circle
=πR2−πr2=π(R2−r2)
=π[(37)2−(33)2]
=3.14[(37+33)(37−33)] [∵a2−b2=(a+b)(a−b)]
=3.14×70×4
=879.20m2.
Therefore, the area of the path is 879.20m2.
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Step-by-step explanation:
given
Circumference of flower Ied = 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 =
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 . = 22/7×21x21 - 22/7×14×14
=1386 - 616
. = 770 m
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