Answer:
330°
Step-by-step explanation:
The central angle:
360°×[tex]\frac{11}{12}[/tex]
=30°×11
=330°
Answer: 330⁰
Step-by-step explanation:
Circumference (C) = 2π · radius(r)
12 = 2π·r
[tex]\dfrac{6}{\pi}=r[/tex]
Arc length (s) = radius(r) · θ (reminder that theta is in radians)
[tex]11=\dfrac{6}{\pi}\cdot \theta\\[/tex]
[tex]\dfrac{11\pi}{6}=\theta[/tex]
To convert radians to degrees, use the proportion: π = 180⁰
[tex]\dfrac{\pi}{180}=\dfrac{11\pi}{6x}\\\\6x(\pi)=180(11\pi)\\\\x=\dfrac{180(11\pi)}{6\pi}\\\\x=30(11)\\\\x=330[/tex]
