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What is the length of the chord which su...

What is the length of the chord which subtends 120 degress at the centre of the circle ?

Text Solution

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The correct Answer is:
`sqrt(3r)`
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Find the length of the chord which subtends an angle of 120^(@) at the centre of the circle of radius 6 cm.

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Knowledge Check

  • Consider a circle of radius R . What is the length of a chord which subtends an angle theta at the centre ?

    A
    `2 R sin ((theta)/(2))`
    B
    `2 R sin theta`
    C
    `2 R tan (theta/2)`
    D
    `2 R tan theta`

  • Consider a circle of radius R. What is the lengths of a chord which subtends an angle theta at the centre ?

    A
    `2R sin(theta/2)`
    B
    `2R sin theta`
    C
    `2R tan (theta/2)`
    D
    `2R tan theta`

  • What is the length of the chord of a unit circle which subtends an angle at the centre ?

    A
    `sin(theta/2)`
    B
    `cos((theta)/(2))`
    C
    `2sin((theta)/(2))`
    D
    `2cos((theta)/(2))`

    • Similar Questions

    Explore conceptually related problems

    Find the length of the chord subtending an angle of 120^(@) at the centre of the circle whose radius is 4 cm.

    Find the length of the chord which subtends an angle of 90^(@) at the centre 'O' and which is at a distance of 6 cm from the centre.

    Find the length of the chord which substends an angle of 120^(@) at the centre 'O' and which is at a distance of 5 m from the centre.

    If alpha- chord of a circle be that chord which subtends an angle alpha at the centre of the circle. If x+y=1 is alpha -chord of x^(2)+y^(2)=1 , then alpha is equal to

    A chord 6 cm long is at a distance of 4 cm from the centre of a circle. Find the length of a chord which is at a distance of 3 cm from the centre of the circle.

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