Question

Circle DDD is below.

What is the arc measure of \stackrel{\Huge{\frown}}{BAC}
BAC
⌢
B, A, C, start superscript, \frown, end superscript in degrees?
^\circ
∘

Answer 1

The answer is 276 degrees. I checked on Khan Academy. The reason 84 degrees is NOT the answer is because that would be the minor arc, not the major arc.

Explanation:

Answer 2

276°

Explanation:

In the figure attached, circle D is shown.

arc BA + arc AC + arc CB = 360°

(7n + 12) + (13n - 16) + 6n = 360

26n - 4 = 360

n = (360 + 4)/26 = 14°

arc BAC = arc BA + arc AC

arc BAC = (7n + 12) + (13n - 16)

arc BAC = 20n - 4

arc BAC = 20(14) - 4 = 276°