Find the value of x. O is the center of the circle. Round your answer to the nearest hundredth.

picture is attached
answer choices

A) 8.77
B) 4.40
C)5.38
D) 4.00

. Correct option C)5.38

Step-by-step explanation:

Here we have , Find the value of x. O is the center of the circle. Round your answer to the nearest hundredth.  picture is attached  . Let's find out:

In the given figure , Let's draw a line from center to the point where cord of length 8 unit is touching the circle or intersecting or , where this chord finishes . This line is radius of circle and is denoted by x , So now we have a right angle triangle with dimensions as :

By Pythagoras Theorem ,

⇒

⇒

⇒

⇒

⇒

Therefore , . Correct option C)5.38

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

whaere is the picture

step-by-step explanation: