Answer:
A. 6π in² (as far as I know)
Step-by-step explanation:
The formula to find the area of a sector of a circle is A = π r² • [tex]\frac{Central Angle}{360}[/tex].
To solve, insert your numbers into the formula. The radius is 4√3, and that squared equals 48. The central angle is 45, and that divided by 360 is 0.125.
You end up with the equation A = 3.14 • 48 • 0.125, which equals 18.84. I'm not sure if I learned this the same way you did because the answers are formatted differently, but the answer of the choices available that matches 18.84 is answer A. 6π in².
When you multiply 6 by 3.14 (like in the answer choice) you get 18.84, so that should be the answer.
I hope this made sense! ☺
