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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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Knowledge Check

  • A circular wire of radius 7 cms is cut and bend again into and arc of circle of radius 12 cms . Then angle subtended by the are at the centre is

    A
    `50^@`
    B
    `210^@`
    C
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    D
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    `(8,8)`
    C
    `(4,4)`
    D
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  • Statement 1 represents Assertion, statement 2 represent Reasons . Statement I : One radian is the angle subtended at the center of a circle by an are that is equal to the radius of the circle . Setement 2: Radian describes the planar angle subtended by a circular arc at the centre of the circle . Which one of the following statements is a correct statement ?

    A
    Statement 1 is true and statement 2 is false
    B
    Statement 1 is false and statement 2 is true
    C
    Statement 1 is true and statement 2 does not explain statement 1.
    D
    Statement 1 is true and statement 2 explains statement 1.

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    Statement 1 represents Assertion, statement 2 represent Reasons . Statement I : One radian is the angle subtended at the center of a circle by an arc that is equal to the radius of the circle . Setement 2: Radian describes the planar angle subtended by a circular arc at the centre of the circle . Which one of the following statements is a correct statement ?

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