A chord is 6cm from the centre of a circle of radius 14cm. calculate the length of the chord with workings​

Question

A chord is 6cm from the centre of a circle of radius 14cm. calculate the length of the chord with workings​

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MichaelMet 3 years 2021-08-02T12:04:37+00:00 2 Answers 7 views 0

Answers ( )

  1. RuslanHeatt
    0
    2021-08-02T12:05:46+00:00
    Reply

    Answer:

    25.28 cm

    Step-by-step explanation:

    The chord is 6cm away from the centre of the circle . And the radius of the circle is 14 cm . We know that the perpendicular from the centre bisects the chord .

    This will form a right angle triangle with the distance between centre and the code as its perpendicular and the length of radius as hypotenuse .

    \implies Base^2+Perpendicular^2=Hypontenuse^2 \\\\\implies b^2 + (6cm)^2=(14cm)^2 \\\\\implies b^2 + 36cm^2= 196cm^2 \\\\\implies b^2 = 196cm^2-36cm^2 \\\\\implies b^2 = 160cm^2 \\\\\implies b=\sqrt{160cm^2}\\\\\implies b = 12.64 cm

    Hence the required answer is 12.64 × 2 = 25.28cm .

  2. haidang
    0
    2021-08-02T12:06:36+00:00
    Reply

    Hello,

    Let’s use the Pythagorian ‘s theorem.

    The length of the chord = 8*V10=25,2982…. (cm)

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