The diameter of a circle is 19 inches. If the diameter is extended 5 inches beyond the circle to point C, how long is the tangen
t segment from point C to the circle? Use the figure below to help guide your response. Explain your answer and show all work.
2 answers:
The tangent segment from point C is 5 inches from the circle
Answer:
Exact Length = 2*sqrt(30)
Approximate Length = 10.95445
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Work Shown:
(tangent)^2 = (external secant)*(whole secant)
(CD)^2 = (CB)*(CA)
(CD)^2 = (CB)*(CB+BA)
x^2 = 5*(5+19)
x^2 = 120
x = sqrt(120)
x = sqrt(4*30)
x = sqrt(4)*sqrt(30)
x = 2*sqrt(30) .......... exact length
x = 10.95445 ............. approximate length
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