The equation (x + 11)2 + (y – 27)2 = 2.25, with units in yards, represents a circular fountain in a park. The park entrance maps to (0, 0). If the positive x-axis represents east and the positive y-axis represents north, what is the location of the fountain relative to the park entrance?
Answer
A
11 yards east and 27 yards north
B
11 yards west and 27 yards north
C
11 yards east and 27 yards south
D
11 yards west and 27 yards south
Explanation
A circle written as (x − h)² + (y − k)² = r² has its center at (h, k). Here, (x + 11)² means x − (−11), so the center is (−11, 27). A negative x-coordinate is west and a positive y-coordinate is north, so the fountain is 11 yards west and 27 yards north of the entrance.
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