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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Nonlinear Systems and the Conic Sections
The Circle

Warm-Ups



1

The radius of a circle can be any nonzero real number.
A)TRUE
B)FALSE
2

The coordinates of the center must satisfy the equation of the circle.
A)TRUE
B)FALSE
3

The circle x2 + y2 = 4 has its center at the origin.
A)TRUE
B)FALSE
4

The graph of x2 + y2 = 9 is a circle centered at (0, 0) with radius 9.
A)TRUE
B)FALSE
5

The graph of (x - 2)2 + (y - 3)2 + 4 = 0 is a circle of radius 2.
A)TRUE
B)FALSE
6

The graph of (x - 3) + (y + 5) = 9 is a circle of radius 3.
A)TRUE
B)FALSE
7

There is only one circle centered at (-3, -1) passing through the origin.
A)TRUE
B)FALSE
8

The center of the circle (x - 3)2 + (y - 4)2 = 10 is (-3, -4).
A)TRUE
B)FALSE
9

The center of the circle x2 + y2 + 6y - 4 = 0 is on the y-axis.
A)TRUE
B)FALSE
10

The radius of the circle x2 - 3x + y2 = 4 is 2.
A)TRUE
B)FALSE








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