AnswersGeometryEquation of a Circle — QuizQuestion 3
3
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Equation of a Circle — Quiz

Question 3 • Geometry

Which equation represents a circle that contains the point negative 2 comma 8 and has a center at 4 comma 0 ? Distance formula: square root of open paren x sub 2 minus x sub 1 close paren squared plus open paren y sub 2 minus y sub 1 close paren squared end root

Answer
A
x squared plus open paren y minus 4 close paren squared is equal to 10
B
x squared plus open paren y minus 4 close paren squared is equal to 100
C
open paren x minus 4 close paren squared plus y squared is equal to 100
D
open paren x minus 4 close paren squared plus y squared is equal to 10

Explanation

A circle centered at (4, 0) has equation (x − 4)² + y² = r². Use the point (−2, 8) to find the radius squared: (−2 − 4)² + (8 − 0)² = 36 + 64 = 100. Therefore, the equation is (x − 4)² + y² = 100, choice D.

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