881
QuizMultiple Choice

Cumulative Exam — Cumulative exam

Question 881 • Career Explorations A

What is the radius and center of a circle with the equation (x – 2)2 + (y – 3)2 = 36?

Answer
A
radius: 6 units; center: (2, 3)
B
radius: 36 units; center: (2, 3)
C
radius: 6 units; center: (–2, –3)
D
radius: 36 units; center: (–2, –3)

Explanation

A circle in standard form is (x − h)² + (y − k)² = r², with center (h, k) and radius r. Comparing the equation to this form gives h = 2, k = 3, and r² = 36, so the radius is 6 units. Therefore, the center is (2, 3) and the radius is 6 units, choice A.

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