2 years ago

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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