A jewelry company prints a hidden watermark on the logo of all its official documents. The watermark is a chord located 0.7 cm. from the center of a circular ring that has a 2.5 cm. radius. What is the length of the chord to the nearest tenth

A jewelry company prints a hidden watermark on the logo of all its official documents The watermark is a chord located 07 cm from the center of a circular ring class=

Respuesta :

Answer: 4.8 cm

Step-by-step explanation:

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

Distance between the center and the chord = 0.7 cm

Radius of the circular ring = 2.5 cm

We need to find length of the chord.

Since it forms a right angle triangle.

So, we will use "Pythagorus theorem":

[tex]H^+=2=B^2+P^2\\\\25.^2+B^2+0.7^2\\\\6.25=B^2+0.49\\\\6.25-0.49=B^2\\\\5.76=B^2\\\\B=2.4\ cm[/tex]

So, Length of chord is given by

[tex]2\times base=2\times 2.4=4.8\ cm[/tex]

Hence, Option 'B' is correct.

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