Question

Find the length of chord which is
at distance of 3 cm from the
Centre of circle. ​

Answer 1

sorry pata nhi hai bss points ke liye aanswer de diya

Answer 2

Step-by-step explanation:

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.

By applying Pythagoras theorem, we can write,

\begin{gathered}\begin{array}{l}{\mathrm{AO}^{2}+\mathrm{OC}^{2}=\mathrm{AC}^{2}} \\ {3^{2}+\mathrm{OC}^{2}=5^{2}} \\ {9+\mathrm{OC}^{2}=25} \\ {\mathrm{OC}^{2}=16}\end{array}\end{gathered}

AO

2

+OC

2

=AC

2

3

2

+OC

2

=5

2

9+OC

2

=25

OC

2

=16

Taking square root,

OC = 4,

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