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The circular wire of diameter 10 cm is c...

The circular wire of diameter 10 cm is cut and placed along the circumference of a circle of diameter 1 meter. The angle subtended by the wire at the centre of circle is equal to

A

`(pi)/(4)` radian

B

`(pi)/(3)` radian

C

`(pi)/(3)` radian

D

`(pi)/(10)` radian

Text Solution

Verified by Experts

The correct Answer is:
C
Length of wire `=2pi r=10 pi`

`therefore` Required angle `=(10pi)/(50)=(pi)/(5)` radians.
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CENGAGE-TRIGONOMETRIC FUNCTIONS -SINGLE CORRECT ANSWER TYPE
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