For the following question, what is the value of x to the nearest tenth?

Answer:
x = 6.6
Step-by-step explanation:
x is known as the radius
11 is the distance of the perpendicular line
if you notice x can be placed anywhere from the centre to touch the circumference.
hence a triangle can be made:
and we can make use of x , 3.6 and (11/2)
we use 11/2 as we dont want to use the wrong line but only half as the 3.6 touch es the line at that point. hence the distance is ( 11/2 = 5.5)
make use of the Pythagoras theorem
c^2 = b^2 + c^2
c will be replaced by x
b and c will be replaced by 3.6 and 5.5
x^2 = 3.6^2 + 5.5^2
x^2 = 43.21
x = 6.6