1. A path of uniform width surrounds a circular park. The difference of internal and external circumferences of this circular path is 132 metres. Its width is: (Take π =22/7)
(1) 22 m
(2) 20 m
(3) 21 m
(4) 24 m
Answers
Answered by
15
Hey there !!!!!!!
If R is the external radius and r is the internal radius
the difference between the external and internal radius will be the width of circular park.
R-r =width
Now
External circumference- internal circumference = 132
2πR-2πr=132
2π(R-r)=132
But R-r = width
2π*width=132
π*width= 66
width =66/π =66/22/7 =66*7/22 =3*7 =21m
Hope this helped you ........
If R is the external radius and r is the internal radius
the difference between the external and internal radius will be the width of circular park.
R-r =width
Now
External circumference- internal circumference = 132
2πR-2πr=132
2π(R-r)=132
But R-r = width
2π*width=132
π*width= 66
width =66/π =66/22/7 =66*7/22 =3*7 =21m
Hope this helped you ........
Answered by
0
Answer:
21 m
Step-by-step explanation:
we can imagine that R is external radius and r is internal radius
the difference between external and internal radius is width of circular path
External circumference - internal circumference = 132 m
2πR-2πr = 132 m
taking 2π as common
2π(R-r) = 132 m
but (R-r)= width
substituting width we get
2π× width= 132 m
π× width = 132/2
π × width = 66 m
width = 66/π
= 66/22/7
by solving this we get
66×7/22 = 3×7 = 21 m
hope this help u
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