Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question
Transcribed Image Text:The figure shows a circle in the coordinate plane. The center of the circle is the point A(h,k). The point B(x,y) is a point on the circle.
Triangle ABC is a right triangle, with point C the vertex of the right angle. The variable r represents the radius of the circle.
8(x, Y)
A(h, k)
Becausea ABC is a right triangle, the lengths of its sides are related by the Pythagorean Theorem. This relationship also gives an
equation for the circle. Use the center, the given point on the circle, and the radius to write an equation that represents this relationship.
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