Question

### Gauthmathier5589

Grade 12 · 2020-11-03

\overline{AB} and \overline{AC} are tangents to a circle at points B and C, respectively. Minor arc BC is 7\pi in. and the radius of the circle is 18 in. What is the number of degrees in angle BAC? （ ）

Good Question (66)

Answer

4.9(117) votes

### Gauthmathier8451

Grade 12 · 2020-11-03

Answer

E

Explanation

Let \angle BOC=n^{ \circ }.

then

7 \pi =\dfrac{n}{360}\cdot 2 \pi \cdot 187 \pi =\dfrac{n \pi }{10}n=70^{ \circ }\angle BAC=180^{ \circ }-70^{ \circ }=110^{ \circ }

then

7 \pi =\dfrac{n}{360}\cdot 2 \pi \cdot 187 \pi =\dfrac{n \pi }{10}n=70^{ \circ }\angle BAC=180^{ \circ }-70^{ \circ }=110^{ \circ }

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