5
QuizMultiple Choice

Equation of a Circle — Quiz

Question 5 • Geometry

Which equation represents a circle with a center at negative 3 comma negative 5 and a radius of 6 units?

Answer
A
open paren x minus 3 close paren squared plus open paren y minus 5 close paren squared is equal to 36
B
open paren x plus 3 close paren squared plus open paren y plus 5 close paren squared is equal to 6
C
open paren x plus 3 close paren squared plus open paren y plus 5 close paren squared is equal to 36
D
open paren x minus 3 close paren squared plus open paren y minus 5 close paren squared is equal to 6

Explanation

A circle with center (h, k) and radius r has equation (x − h)² + (y − k)² = r². Using center (−3, −5) gives (x + 3)² + (y + 5)², and radius 6 gives 6² = 36 on the right side. Therefore, the correct choice is D, (x + 3)² + (y + 5)² = 36.

AI-written and checked against the verified answer.

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