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Umnica [9.8K]
3 years ago
13

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

Mathematics
1 answer:
lyudmila [28]3 years ago
8 0

Answer:

(x - 8)² + (y - 10)² = 36

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Pre-Calculus</u>

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

  • <em>(h, k) </em>is center
  • <em>r</em> is radius

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em>(h, k)</em> = (8, 10)

<em>r</em> = 6

<u>Step 2: Find Equation</u>

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