Question

A chord, distant 4 cm from the centre is 6 cm long. The length of the chord which is 3 cm distant fromthe centre is explaine step by step by step by step by step by step by step ​

Answer 1

Answer:

8cm

Step-by-step explanation:

firstly, we apply the formula on first chord that is

$\sqrt{x^{2} + {y}^{2} } = c$

where the x is distance of chord from centre that

is 4 cm. And y is half of the length of chord that is 3 cm. and c is radius of circle.

So, c=√25=5 cm (radius of circle)

Now, for the second chord the radius = 5cm, and the distance of chord from the centre is 3cm, so for applying the above formula...

$\sqrt{ {x }^{2} + {3}^{2} } = 5$

x^2= 25-9=16

x=4cm.

but the length of chord is 2x then,

length od chord is 8cm.