Question

. Find the length of a chord which is at a distance of 3 cm from the
distance of the chord from the
centre of the circle
of a circle of radius 5 cm.​

Answer 1

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Answer 2

Answer:

The length of the chord of distance 3cm from its centre is 8cm.

Step-by-step explanation:

Given radius of the circle (AC)=5 cm

AO=3 cm

consider the triangle AOC, which is a right angled triangle.

${ao}^{2} + {oc }^{2} = {ac}^{2}$

${3}^{2} + {oc}^{2} = 25$

$9 + {oc}^{2} = 25$

${oc}^{2} = 16$

Taking square root,

OC=4,

Therefore the length of the chord=4+4=8cm.