Question

Calculate the length of a chord which is at a distance 6 cm from the centre of a circle of diameter 20 cm.​

Answer 1

Answer:

Distance of chord from the centre of the circle = 6 cm.

Radius of the circle = 10 cm.

Length of the chord = 2*[10^2–6^2]^0.5 = 2[100–36]^0.5 = 2*64^0.5 = 2*8 = 16 cm.

Answer 2

Answer:

16

Explanation:

let the length of chord be x cm

diameter of circle is 20cm so radius will be 10cm

distance of chord from centre of circle is 6cm

radius of circle act as hypotenuses of triangle ABC (let) and

x/2

is the base of triangle ABC which is half the length of chord

according to Pythagoras theorem,

10²=6²+x/2

let x/2 be b so

100=36+b2(b square)

64=b2(b square)

b=8

where b=x/2

2b=x

2×8=x

x=16 is the answer.

Hope this helps you.

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