Given: AB tangent to circle O at B, and secant through point A intersect the circle at points C and D. Find CD, if
2 answers:
Answer:
CD = 6 cm.
Step-by-step explanation:
In the figure attached AB is the tangent of circle O at point B. A secant through point A intersect the circle at C and D.
mAB = 4cm and mAC = 2cm
We have find the length of CD.
By the theorem of secant and tangent
AB² = AC×AD
Here AC = 2 cm
and AD = AC + CD = (2 + CD)
Now we replace the values in the formula
4² = 2(2 + CD)
16 = 4 + 2.CD
2.CD = 16 - 4 = 12
Therefore CD = 6 cm is the answer.
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