Question

In circle B with m, angle, A, B, C, equals, 78, degreesm∠ABC=78
∘
and A, B, equals, 10AB=10 units, find the length of arc, A, C
AC
⌢
. Round to the nearest hundredth.
A
C
B
Answer
Attempt 1 out of 2

Answer 1

Because B is the center, ∠ABC is a central angle of 78°. Convert to radians and use s = rθ:

θ = 78° = 78π/180 = 13π/30 rad
s = rθ = 10 * (13π/30) = (13π)/3 ≈ 13.61 units

Arc AC ≈ 13.61 units (to the nearest hundredth).