Respuesta :

Answer:

Hence r=10.3 cms (rounded to tenth place)

Step-by-step explanation:

In Triangle KLN ,

KN = 5 Cms

LN = ½ of LM

As the Perpendicular dropped from the center to the chord bisects it.

LM = 18 cm

LN = 9 cm

Now we have to find r or KL

We apply Hypotenuse Formula in this

The formula is given as

[tex]c=\sqrt{a^2+b^2}[/tex]

Where c = r

a=5

b=9

Putting them in the formula

[tex]r=\sqrt{5^2+9^2}[/tex]

[tex]r=\sqrt{25+81}[/tex]

[tex]r=\sqrt{106}[/tex]

[tex]r=10.29[/tex]

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