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 !!
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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
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Solution:
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!
Notice ΔPRO
PR 2 2 - OR 2
[1945907]
PR 2 = 13 2 - 5 2
PR 2 = 169 - 25