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Jobisdone [24]
3 years ago
11

Given the center and radius of a circle, write the equation of the circle.

Mathematics
1 answer:
Mashutka [201]3 years ago
5 0

Answer:

(x + 2)² + (y - 1)² = 25

General Formulas and Concepts:

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Pre-Calc</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 variables</em>

<em>(h, k)</em> = (-2, 1)

<em>r</em> = 5

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

  1. Substitute in variables [Circle Center Formula]:                                             (x - -2)² + (y - 1)² = 5²
  2. Simplify:                                                                                                             (x + 2)² + (y - 1)² = 25

Topic: Pre-Calculus

Unit: Conics

Book: Pre-Calculus (McGraw Hill)

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