Question

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

Answer 1

(x - 8)² + (y - 10)² = 36

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Coordinates (x, y)

Pre-Calculus

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

• (h, k) is center
• r is radius

Explanation:

Step 1: Define

Identify

(h, k) = (8, 10)

r = 6

Step 2: Find Equation

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