## College Algebra 7th Edition

Published by Brooks Cole

# Chapter 1, Equations and Graphs - Section 1.2 - Graphs of Equations in Two Variables; Circles - 1.2 Exercises: 67

#### Answer

center: $(0, 0)$; radius = 3 units Refer to the image below for the graph.

#### Work Step by Step

RECALL: The circle $x^2+y^2=r^2$ has its center at $(0, 0)$ and a radius of $r$ units. The given circle can be written as $x^2+y^2=3^2$. This equation is in the same form as the one in the recall part above so its center is at $(0, 0)$ and its radius is $3$. Plot the points that are: 3 units above the center: $(0, 3)$ 3 units below the center: $(0, -3)$ 3 units to the left of the center: $(-3, 0)$ 3 units to the right of the center: $(3, 0)$ Then, connect the points using a curve to form a circle. (refer to the attached image in the answer part above)

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