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Write True or False: Give reasons for your answers.(i) Line segment joining the centre to any point on the circle is a radius of the circle.(ii) A circle has only finite number of equal chords.(iii) If a circle is divided into three equal arcs, each is a major arc.(iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle.(v) Sector is the region between the chord and its corresponding arc.(vi) A circle is a plane figure.

Text Solution

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(i) Line segment joining the centre to any point on the circle is a radius of the circle. - `True`. Please refer to video to see the explanation with diagram.

(ii) A circle has only finite number of equal chords. - `False` as a circle can have any number of equal chords.

(iii) If a circle is divided into three equal arcs, each is a major arc.- `False`.Please refer to video to see the explanation with diagram.

(iv) A chord of a circle, which is twice as long as its radius, is a diameter of the circle. - `True` as diameter is the largest chord with length double to radius.

(v) Sector is the region between the chord and its corresponding arc. - `False` as the mentioned region i s called segment not sector.

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Write the truth value (T/F) of the following with suitable reasons: A circle is a plane figure. Line segment joining the centre to any point on the circle is a radius of the circle. If a circle is divided into three equal arcs each is a major arc. A circle has only finite number of equal chords. A chord of a circle, which is twice as long is its radius is a diameter of the circle. Sector is the region between the chord and its corresponding arc. The degree measure of an arc is the complement of the central angle containing the arc. The degree measure of a semi-circle is 180^0

CHORD OF A CIRCLE A line segment joining any two point on a circle is called a chord of the circle.

Knowledge Check

  • The measure of the line segment joining the centre of a circle to the mid-point of a chord is :

    A
    twice the measure of the chord
    B
    half the measure of the chord
    C
    equal to the measure of the chord
    D
    None of the above

  • The number of arcs made by a chord on a circle is___

    A
    3
    B
    2
    C
    1
    D
    4

  • A chord of a circle is equal to its radius. A tangent is drawn to the circle at an extremity of the chord. The angle between the tangent and the chord is

    A
    `30^@`
    B
    `45^@`
    C
    `60^@`
    D
    `75^@`

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