SOLUTION: the distance from point x to the centre of a circle is 10cm. if the radius of the circle 6cm, calculate the length of the tangent from x to the point of contact with the circle

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Question 1164150: the distance from point x to the centre of a circle is 10cm. if the radius of the circle 6cm, calculate the length of the tangent from x to the point of contact with the circle
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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the distance from point x to the centre of a circle is 10cm.
if the radius of the circle 6cm, calculate the length of the tangent from x to the point of contact with the circle
:
The radius of 6 is from the circle center to the point of contact of the tangent
A this point it forms a right angle with the tangent
The hypotenuse = 10 cm, radius is one side, 6 cm
Let s = dist of x to the point of contact, use the pythag
s^2 + 6^2 = 10^2
s^2 = 100 - 36
s^2 = 64
s = sqrt%2864%29
s = 8 cm is the dist from x to the point of contact