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Explain the following: Circle          (...

Explain the following: Circle          (ii)   Radius      (iii)   Centre Diameter     (v)  Chord        (v)  Interior of a circle

Answer

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In given figure, O is the centre of the circle. A chord, which is not the diameter of the circle is

In the given figure, O is the centre of the circle. Name a chord, which is not the diameter of the circle.

Knowledge Check

  • The equation of the circle whose diameter is common chord to the circles

    A
    ` x ^ 2 + y ^ 2 - ( 2ab^ 2 ) /( a ^ 2 + b ^ 2) x + ( 2a ^ 2 b) /( a ^ 2 + b ^ 2 ) y + c = 0 `
    B
    ` x ^ 2 + y^ 2 - ( 2ab ^ 2 ) /( a ^ 2 + b^ 2 )x + ( 2a^ 2 b ) /( a ^ 2 + b ^ 2 ) y + c = 0 `
    C
    ` x^ 2 + y ^ 2 + ( 2ab ^ 2 ) /( a ^ 2 + b ^ 2 ) x + ( 2a^ 2 b ) /( a ^ 2 + b^ 2 ) y + c = 0 `
    D
    ` x ^ 2 + y^ 2 + ( 2ab ^ 2 ) /( a ^2 + b ^ 2 ) x - ( 2a^ 2 b) /( a ^ 2 + b^ 2 ) y +c = 0`

  • The length of the chord of a circle is 8 cm and perpendicular distance between centre and the chord is 3 cm. Then the radius of the circle is equal to :

    A
    4 cm
    B
    5 cm
    C
    6 cm
    D
    8 cm

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    In Fig. 2.47, O is the centre of the circle. Name a chord, which is not the diameter of the circle.

    (a) Is every diameter of a circle also a chord? (b) Is every chord of a circle also a diameter?

    Prove that the diameter is the greatest chord in a circle.

    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.

    A chord of length 16 cm is drawn in a circle of radius 10 cm .Calculate the distance of the chord from the centre of the circle.

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