Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 10 - Quadratic Relations and Conic Sections - 10-3 Circles - Practice and Problem-Solving Exercises - Page 634: 11

Answer

$(x-1)^2 + (y+3)^2 = 100$

Work Step by Step

The standard equation of a circle with center $(h,k)$ and radius $r$ is: $$(x-h)^2+(y-k)^2=r^2$$ Substitute $(h,k)=(1,-3)$ and $ r = 10$ and we have: $$(x-1)^2 + (y-(-3))^2 = 10^2$$ $$(x-1)^2 + (y+3)^2 = 100$$
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