Question
Specify the center and radius of each circle. Also, determine whether the given point lies on the circle.$$(x+4)^{2}+(y+2)^{2}=20 ;(0,1)$$
Step 1
In the given equation $(x+4)^2 + (y+2)^2 = 20$, we can see that $h=-4$, $k=-2$ and $r=\sqrt{20}=2\sqrt{5}$. So, the center of the circle is $(-4,-2)$ and the radius is $2\sqrt{5}$. Show more…
Show all steps
Your feedback will help us improve your experience
Charles Carter and 91 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Specify the center and radius of each circle. Also, determine whether the given point lies on the circle. $$x^{2}+y^{2}=1 ;(1 / 2, \sqrt{3} / 2)$$
Fundamentals
Symmetry and Graphs. Circles
Determine the center and radius of the circle. $$ x^{2}+y^{2}=20 $$
Functions and Graphs
Circles
Determine the center and radius of each circle and sketch the graph. $$(y+2)^{2}=20-(x-4)^{2}$$
Equations, Inequalities, and Modeling
Equations and Graphs in Two Variables
Transcript
600,000+
Students learning Algebra with Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD
