Determine the equation of a circle with the center (8,10) and radius 6​

(x - 8)² + (y - 10)² = 36

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Pre-Calculus

Circle Center Formula: (x - h)² + (y - k)² = r²

(h, k) is centerr is radius

Step-by-step explanation:

Step 1: Define

Identify

(h, k) = (8, 10)

r = 6

Step 2: Find Equation

Substitute in variables [Center Circle Formula]:                                             (x - 8)² + (y - 10)² = 6²Evaluate exponents:                                                                                         (x - 8)² + (y - 10)² = 36