Answer:
center = (-2, 6)
radius = 6
Step-by-step explanation:
<u>Equation of a circle</u>

(where (a, b) is the center and r is the radius)
Therefore, we need to rewrite the given equation into the standard form of an equation of a circle.
Given equation:

Collect like terms and subtract 4 from both sides:

Complete the square for both variables by adding the square of half of the coefficient of
and
to both sides:


Factor both variables:

Therefore:
- center = (-2, 6)
- radius = √36 = 6
Any angle that would be less than 80 degrees would be known to be called an "Acute Angle". Therefore, your correct answer would then be known to be called an Acute Angle.
I hope this helps you!