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In the figure , in a circle with centre ...

In the figure , in a circle with centre O, length of chord AB is equal to the radius of the circle. Find the measure of each of the following `:`
(1) `/_ AOB `
(2) `/_ ACB`
(3) arc AB
(4) arc ACB

Text Solution

Verified by Experts

The correct Answer is:
(i) `thereforemangleAOB=60^@` (ii) `thereforemangleACB=30^@` (iii) `m(arc AB)=60^@` (iv) `m(arc ACB)=300^@`
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Knowledge Check

  • In the given figure OM _|_ AB , radius of the circle is 5 cm and length of the chord AB = 8 cm . Find the measure of OM:

    A
    3 cm
    B
    2.5 cm
    C
    2 cm
    D
    6 cm

  • The angular subtended at the centre of the circle by an arc of length equal to the radius of circle is

    A
    one radian
    B
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    C
    one steradian
    D
    `90^(@)`

  • The length of the radius of a circle with centre O is 5 cm and the length of the chord AB is 8 cm. The distance of the chord AB from the point O is

    A
    2 cm.
    B
    3 cm.
    C
    4 cm.
    D
    15 cm.

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