Find the Center and Radius of the Circle with the Given

question 140

Multiple Choice

Find the center and radius of the circle with the given equation.
- $$x ^ { 2 } - 12 x + 36 + y ^ { 2 } - 8 y + 16 = 4$$

• A) Center \(( 6,4 ) , r = 2\)
• B) Center \(( - 4 , - 6 ) , r = 4\)
• C) Center \(( 4,6 ) , \mathrm { r } = 2\)
• D) Center \(( - 6 , - 4 ) , \mathrm { r } = 4\)

---

Definitions:

Area of a Circle

The measurement of the space contained within a circle, calculated as π times the radius squared (πr^2).

Savant Syndrome

A condition where an individual with significant mental disabilities demonstrates profound and prodigious capacities or abilities in a specific area, such as music, art, or calculation.

Specific Area

A distinct part or section within a larger domain or space, often characterized by unique features or functions.

IQ and Achievement Tests

Standardized tests designed to measure intellectual potential (IQ) and academic skills or knowledge in specific areas (achievement).