How to Calculate the Length of Circles tangent

How to Calculate Length of Circles tangent - Previously we both learn about how to paint the tangent on the circle The Basic Mathematical Formula also has already explained the material Equation of the Tie on the Circle . Especially for the material on this occasion to be discussed is about how to calculate the length of tangents on a circle. To make it easier and faster to understand it, we simply learn it in the example problem and how to solve it:

] Example Problem and Completion Length Circle tangent


Example Problem 1:
Calculate the length of the tangent from a point outside the circle if the distance of the point to the center of the circle is 10 cm and the radius of the circle is 6 cm !!
[194590]
How to Calculate the Length Toll Range of Circles "border =" 0 "height =" 202 "src =" http://1.bp.blogspot.com/-3NqcFNOiKAk/VeZEENp2QWI/AAAAAAAAIgU/dWb-V5drU38 /s320/Screenshot_1.jpg "title =" How to Calculate the Length of Circles tangent "width =" 320 "/> </div> <br /> </div> [194[1945907] <i> <o:p> </o:p> </div> <div class=
Known OT = 10cm, r = 6cm, and the tangent of the circle is TA. Because TAO is elbow in A then using the theorem of phytagoras is obtained:

TA 2 = OT 2 - OA 2
TA 2 = 10 2 -6 2
TA 2
TA 2 = 64
TA = √64 = 8

So the length of the tangent of the circle is 8cm.

Example Problem 2:
Look at the picture below. Known radius OR = OQ = 5 cm and distance PO = 13 cm. Calculate the length of the bow string QR!
How To Calculate The Length Of The Circle Tie "border =" 0 "src = "Http:https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgQHn7LM6N1fetCHc3W5IkPrut0lPcP0r8EE3dJMCwFulvGDJ1kAJkeTJs-XzPJLM_hJgcYkqUcKKGGlodaIG0dfpbCcMu_1njVry0jycTb1qx2zVDhF2fWDk44yqOp75U1iBVp6XNxT3s/s1600/Screenshot_2.jpg" title = "How to Calculate Length of Circles tangent" /> </div> </div> <div class= Solution:
Notice ΔPRO

PR 2 2 - OR 2

[1945907]

PR 2 = 13 2 - 5 2
PR 2 = 169 - 25

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