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Standard IX
Mathematics
Area of a Circular Ring
If a rope of ...
Question
If a rope of length 15π m is bent to form a circle, then what is the radius of the circle formed?
A
15 m
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B
7.5 m
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C
30 m
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D
15
π
m
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Solution
The correct option is
B
7.5 m
The length of the rope will be equal to the circumference of the circle.
Circumference of circle = Length of rope
=
2
π
r
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}-->
∴
15
π
=
2
×
π
×
r
∴
Radius = r = 7.5 m
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