Find the standard form of the equation of the circle with the given characteristics.center: (-2, 2); solution point: (-2, 5)Sketch its graph.Graph LayersAfter you add an object to the graph youcan use Graph Layers to view and edit itsproperties.-413.-10 -p-7-2No-aSolution-2-10Help

Answered: Find the standard form of the equation…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter6: Systems Of Linear Equations And Inequalities

Section: Chapter Questions

Problem 7PFA

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Question

Find the standard form of the equation of the circle with the given characteristics.
center: (-2, 2); solution point: (-2, 5)
Sketch its graph.
Graph Layers
After you add an object to the graph you
can use Graph Layers to view and edit its
properties.
-4
13.
-10 -p
-7
-2
No
-a
Solution
-2
-10
Help

Expert Solution

Step 1

given center of circle (-2,2) and a point on a circle is (-2,5)

we know that distance from center to point on a circle is known as radius.

$t h e r e f o r e b y u \sin g d i s \tan c e f o r m u l a w e c a n e v a l u a t e r a d i u s r = \sqrt{(- 2 - {(- 2))}^{2} + {(5 - 2)}^{2}} r = 3$

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