Question

The radius of the given circle with Centre C is 6 CM if the chord ab is 3 cm away from the centre calculate its length.
Plzzzzz tell

Answer 1

$\huge\mathbb{Answer :-}$

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Answer 2

Length of cord is $\mathbf{6\sqrt{3}(cm)}$

Step-by-step explanation:

1. Radius of circle (R) =6 (cm)

2. Distance of cord from centre of circle (H)= 3 (cm)

3. As we know, if we draw perpendicular from centre of circle to cord it will bisect the cord.

4. It means perpendicular divide the cord in two equal parts.

5. So length of cord (L) is

  $\mathbf{L= 2\times \sqrt{\left ( R^{2}-H^{2} \right )}}$     ...1)

6. From equation 1)

  $\mathbf{L= 2\times \sqrt{\left ( 6^{2}-3^{2} \right )}}$  

  $\mathbf{L= 2\times \sqrt{27}}$

  after solving

  $\mathbf{L= 6\times \sqrt{3} (cm)}$