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3 years ago

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:

Algebra I

Coordinates (x, y)

Pre-Calc

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

(h, k) is center
r is radius

Step-by-step explanation:

Step 1: Define

Identify variables

(h, k) = (-2, 1)

r = 5

Step 2: Find Equation

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

Topic: Pre-Calculus

Unit: Conics

Book: Pre-Calculus (McGraw Hill)

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Zolol [24]

Answer:

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