Page 177 - Math Course 3 (Book 2)

Circles: Equations

Your Turn!

Real World Example
AMUSEMENT PARKS AMUSEMENT PARKS
The designer of an amusement park wants to The designer of an amusement park wants to
place a food court equidistant from the roller place a food court equidistant from the roller
coaster located at (4, 1), the Ferris wheel located at coaster located at (4, 1), the Ferris wheel located at
(0, 1), and the boat ride located at (4, –3). (0, 1), and the boat ride located at (4, –3).
Determine the location for the food court. Write an equation for the circle.

A. (3, 0) A. (x – 2)² + (y + 1)² = r√8
B. (0, 0) B. (x – 2)² + (y + 1)² = 8
C. (2, –1) C. (x + 2)² + (y – 1)² = √8
D. (1, 0) D. (x + 2)² + (y – 1)² = 8

Answer Answer

Skill Practice!

Write an equation for each circle.

1. center at origin, r = 6 2. center at (0, 0), r = 2

3. center at (4, 3), r = 9 4. center at (7, 1), d = 24

5. center at (–5, 2), r = 4 6. center at (6, –8), d = 10

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