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lisabon 2012 [21]
2 years ago
8

In circle A as shown below, segment DC is tangent to circle A at D.

Mathematics
2 answers:
sergiy2304 [10]2 years ago
6 0

Answer:

3 units

Step-by-step explanation:

Let the radius be x

Therefore, using pythagoras Theorem,

{4 {}^{2} +  {x}^{2}  }  = (x + 2) {}^{2} \\ 16 + x {}^{2}   =  {x}^{2}  + 4x + 4 \\ 4x + 4 = 16 \\ 4x = 12 \\ x = 3

Likurg_2 [28]2 years ago
4 0

Answer:

AB = 3

Step-by-step explanation:

AB = AD

AB² + 4² = (AB + 2)²

AB² + 16 = AB² + 4AB + 4

combine like terms:

4AB = 12

AB = 3

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